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140087616 = 26317167257
BaseRepresentation
bin10000101100110…
…01000101000000
3100202121012002020
420112121011000
5241330300431
621522321440
73320503464
oct1026310500
9322535066
10140087616
1172091999
123aab9280
132303b1a6
14148684a4
15c472696
hex8599140

140087616 has 112 divisors (see below), whose sum is σ = 396337536. Its totient is φ = 43515904.

The previous prime is 140087581. The next prime is 140087617. The reversal of 140087616 is 616780041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140087617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 544960 + ... + 545216.

It is an arithmetic number, because the mean of its divisors is an integer number (3538728).

Almost surely, 2140087616 is an apocalyptic number.

140087616 is a gapful number since it is divisible by the number (16) 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 140087616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198168768).

140087616 is an abundant number, since it is smaller than the sum of its proper divisors (256249920).

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

140087616 is a wasteful number, since it uses less digits than its factorization.

140087616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 140087616 is about 11835.8614388645. The cubic root of 140087616 is about 519.3577079685.

The spelling of 140087616 in words is "one hundred forty million, eighty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 167 192 204 257 272 334 408 501 514 544 668 771 816 1002 1028 1088 1336 1542 1632 2004 2056 2672 2839 3084 3264 4008 4112 4369 5344 5678 6168 8016 8224 8517 8738 10688 11356 12336 13107 16032 16448 17034 17476 22712 24672 26214 32064 34068 34952 42919 45424 49344 52428 68136 69904 85838 90848 104856 128757 136272 139808 171676 181696 209712 257514 272544 279616 343352 419424 515028 545088 686704 729623 838848 1030056 1373408 1459246 2060112 2188869 2746816 2918492 4120224 4377738 5836984 8240448 8755476 11673968 17510952 23347936 35021904 46695872 70043808 140087616