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30151080 = 23325611373
BaseRepresentation
bin111001100000…
…1000110101000
32002201211111200
41303001012220
530204313310
62554124200
7514165011
oct163010650
962654450
1030151080
1116023a53
12a120660
13632899b
14400c008
1529a89c0
hex1cc11a8

30151080 has 96 divisors (see below), whose sum is σ = 99669960. Its totient is φ = 7902720.

The previous prime is 30151067. The next prime is 30151123. The reversal of 30151080 is 8015103.

It is a happy number.

It is a Cunningham number, because it is equal to 54912-1.

It can be written as a sum of positive squares in 4 ways, for example, as 24980004 + 5171076 = 4998^2 + 2274^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21274 + ... + 22646.

Almost surely, 230151080 is an apocalyptic number.

30151080 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 30151080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49834980).

30151080 is an abundant number, since it is smaller than the sum of its proper divisors (69518880).

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

30151080 is a wasteful number, since it uses less digits than its factorization.

30151080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 30151080 is about 5490.9999089419. Note that the first 4 decimals coincide. The cubic root of 30151080 is about 311.2439782064.

Adding to 30151080 its reverse (8015103), we get a palindrome (38166183).

It can be divided in two parts, 3015 and 1080, that added together give a triangular number (4095 = T90).

The spelling of 30151080 in words is "thirty million, one hundred fifty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1373 1464 1830 2196 2440 2745 2746 3660 4119 4392 5490 5492 6865 7320 8238 10980 10984 12357 13730 16476 20595 21960 24714 27460 32952 41190 49428 54920 61785 82380 83753 98856 123570 164760 167506 247140 251259 335012 418765 494280 502518 670024 753777 837530 1005036 1256295 1507554 1675060 2010072 2512590 3015108 3350120 3768885 5025180 6030216 7537770 10050360 15075540 30151080