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139945680 = 24325727767
BaseRepresentation
bin10000101011101…
…10011011010000
3100202022222101100
420111312123100
5241311230210
621515304400
73316342620
oct1025663320
9322288340
10139945680
1171aa5296
123aa4b100
1322cbb6c4
141482c880
15c4455c0
hex85766d0

139945680 has 120 divisors (see below), whose sum is σ = 537144192. Its totient is φ = 31986432.

The previous prime is 139945679. The next prime is 139945681. The reversal of 139945680 is 86549931.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (139945679) and next prime (139945681).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139945681) 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 23 ways as a sum of consecutive naturals, for example, 8844 + ... + 18923.

Almost surely, 2139945680 is an apocalyptic number.

139945680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

139945680 is an abundant number, since it is smaller than the sum of its proper divisors (397198512).

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

139945680 is a wasteful number, since it uses less digits than its factorization.

139945680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27793 (or 27784 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 139945680 is about 11829.8639045426. The cubic root of 139945680 is about 519.1822452406.

Subtracting from 139945680 its product of nonzero digits (233280), we obtain a square (139712400 = 118202).

It can be divided in two parts, 139945 and 680, that added together give a square (140625 = 3752).

The spelling of 139945680 in words is "one hundred thirty-nine million, nine hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 27767 55534 83301 111068 138835 166602 194369 222136 249903 277670 333204 388738 416505 444272 499806 555340 583107 666408 777476 833010 971845 999612 1110680 1166214 1249515 1332816 1554952 1666020 1749321 1943690 1999224 2221360 2332428 2499030 2915535 3109904 3332040 3498642 3887380 3998448 4664856 4998060 5831070 6664080 6997284 7774760 8746605 9329712 9996120 11662140 13994568 15549520 17493210 19992240 23324280 27989136 34986420 46648560 69972840 139945680