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140656032 = 253211291531
BaseRepresentation
bin10000110001000…
…11110110100000
3100210200001210200
420120203312200
5242001443112
621542425200
73325361616
oct1030436640
9323601720
10140656032
117243aa60
123b132200
13231a9b2a
14149756b6
15c535cdc
hex8623da0

140656032 has 144 divisors (see below), whose sum is σ = 451694880. Its totient is φ = 41126400.

The previous prime is 140656001. The next prime is 140656037. The reversal of 140656032 is 230656041.

140656032 is a `hidden beast` number, since 1 + 4 + 0 + 656 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 140655987 and 140656005.

It is not an unprimeable number, because it can be changed into a prime (140656037) 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 23 ways as a sum of consecutive naturals, for example, 91107 + ... + 92637.

It is an arithmetic number, because the mean of its divisors is an integer number (3136770).

Almost surely, 2140656032 is an apocalyptic number.

140656032 is a gapful number since it is divisible by the number (12) 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 140656032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225847440).

140656032 is an abundant number, since it is smaller than the sum of its proper divisors (311038848).

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

140656032 is a wasteful number, since it uses less digits than its factorization.

140656032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 140656032 is about 11859.8495774609. The cubic root of 140656032 is about 520.0592043044.

Subtracting 140656032 from its reverse (230656041), we obtain a palindrome (90000009).

The spelling of 140656032 in words is "one hundred forty million, six hundred fifty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 32 33 36 44 48 58 66 72 87 88 96 99 116 132 144 174 176 198 232 261 264 288 319 348 352 396 464 522 528 638 696 792 928 957 1044 1056 1276 1392 1531 1584 1914 2088 2552 2784 2871 3062 3168 3828 4176 4593 5104 5742 6124 7656 8352 9186 10208 11484 12248 13779 15312 16841 18372 22968 24496 27558 30624 33682 36744 44399 45936 48992 50523 55116 67364 73488 88798 91872 101046 110232 133197 134728 146976 151569 177596 202092 220464 266394 269456 303138 355192 399591 404184 440928 488389 532788 538912 606276 710384 799182 808368 976778 1065576 1212552 1420768 1465167 1598364 1616736 1953556 2131152 2425104 2930334 3196728 3907112 4262304 4395501 4850208 5860668 6393456 7814224 8791002 11721336 12786912 15628448 17582004 23442672 35164008 46885344 70328016 140656032