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140733120 = 26351113327
BaseRepresentation
bin10000110001101…
…10101011000000
3100210210222112210
420120312223000
5242011424440
621544222120
73326132433
oct1030665300
9323728483
10140733120
1172492970
123b16a940
1323205c48
141499581a
15c54da80
hex8636ac0

140733120 has 112 divisors (see below), whose sum is σ = 487484928. Its totient is φ = 34114560.

The previous prime is 140733107. The next prime is 140733127. The reversal of 140733120 is 21337041.

It is a super-2 number, since 2×1407331202 = 39611622129868800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (140733127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3897 + ... + 17223.

It is an arithmetic number, because the mean of its divisors is an integer number (4352544).

Almost surely, 2140733120 is an apocalyptic number.

140733120 is a gapful number since it is divisible by the number (10) 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 140733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243742464).

140733120 is an abundant number, since it is smaller than the sum of its proper divisors (346751808).

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

140733120 is a wasteful number, since it uses less digits than its factorization.

140733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13358 (or 13348 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 140733120 is about 11863.0990891925. The cubic root of 140733120 is about 520.1541949034.

The spelling of 140733120 in words is "one hundred forty million, seven hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 13327 26654 39981 53308 66635 79962 106616 133270 146597 159924 199905 213232 266540 293194 319848 399810 426464 439791 533080 586388 639696 732985 799620 852928 879582 1066160 1172776 1279392 1465970 1599240 1759164 2132320 2198955 2345552 2558784 2931940 3198480 3518328 4264640 4397910 4691104 5863880 6396960 7036656 8795820 9382208 11727760 12793920 14073312 17591640 23455520 28146624 35183280 46911040 70366560 140733120