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30143760 = 2435296171
BaseRepresentation
bin111001011111…
…1010100010000
32002201110110120
41302333110100
530204100020
62554030240
7514134453
oct162772420
962643416
1030143760
11160194a9
12a118380
13632555a
14400949a
1529a6740
hex1cbf510

30143760 has 160 divisors (see below), whose sum is σ = 99636480. Its totient is φ = 7526400.

The previous prime is 30143759. The next prime is 30143761. The reversal of 30143760 is 6734103.

It is an interprime number because it is at equal distance from previous prime (30143759) and next prime (30143761).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30143760.

It is not an unprimeable number, because it can be changed into a prime (30143761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424525 + ... + 424595.

It is an arithmetic number, because the mean of its divisors is an integer number (622728).

Almost surely, 230143760 is an apocalyptic number.

30143760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30143760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49818240).

30143760 is an abundant number, since it is smaller than the sum of its proper divisors (69492720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30143760 is a wasteful number, since it uses less digits than its factorization.

30143760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 30143760 is about 5490.3333232145. Note that the first 4 decimals coincide. The cubic root of 30143760 is about 311.2187885027.

Adding to 30143760 its reverse (6734103), we get a palindrome (36877863).

It can be divided in two parts, 30143 and 760, that added together give a palindrome (30903).

The spelling of 30143760 in words is "thirty million, one hundred forty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 61 71 80 87 116 120 122 142 145 174 183 213 232 240 244 284 290 305 348 355 366 426 435 464 488 568 580 610 696 710 732 852 870 915 976 1065 1136 1160 1220 1392 1420 1464 1704 1740 1769 1830 2059 2130 2320 2440 2840 2928 3408 3480 3538 3660 4118 4260 4331 4880 5307 5680 6177 6960 7076 7320 8236 8520 8662 8845 10295 10614 12354 12993 14152 14640 16472 17040 17324 17690 20590 21228 21655 24708 25986 26535 28304 30885 32944 34648 35380 41180 42456 43310 49416 51972 53070 61770 64965 69296 70760 82360 84912 86620 98832 103944 106140 123540 125599 129930 141520 164720 173240 207888 212280 247080 251198 259860 346480 376797 424560 494160 502396 519720 627995 753594 1004792 1039440 1255990 1507188 1883985 2009584 2511980 3014376 3767970 5023960 6028752 7535940 10047920 15071880 30143760