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140257152 = 2732717393
BaseRepresentation
bin10000101110000…
…10011110000000
3100202220210122100
420113002132000
5241401212102
621530110400
73322110660
oct1027023600
9322823570
10140257152
1172198302
123ab7b400
132309a3c9
14148b01a0
15c4a7a1c
hex85c2780

140257152 has 96 divisors (see below), whose sum is σ = 461288880. Its totient is φ = 40071168.

The previous prime is 140257129. The next prime is 140257211. The reversal of 140257152 is 251752041.

140257152 is a `hidden beast` number, since 1 + 40 + 2 + 571 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1402571522 = 39344137374302208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 633 + ... + 16760.

Almost surely, 2140257152 is an apocalyptic number.

140257152 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 140257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230644440).

140257152 is an abundant number, since it is smaller than the sum of its proper divisors (321031728).

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

140257152 is a wasteful number, since it uses less digits than its factorization.

140257152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17420 (or 17405 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 140257152 is about 11843.0212361542. The cubic root of 140257152 is about 519.5671348378.

The spelling of 140257152 in words is "one hundred forty million, two hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 17393 34786 52179 69572 104358 121751 139144 156537 208716 243502 278288 313074 365253 417432 487004 556576 626148 730506 834864 974008 1095759 1113152 1252296 1461012 1669728 1948016 2191518 2226304 2504592 2922024 3339456 3896032 4383036 5009184 5844048 6678912 7792064 8766072 10018368 11688096 15584128 17532144 20036736 23376192 35064288 46752384 70128576 140257152