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157345740 = 2234597127
BaseRepresentation
bin10010110000011…
…10011111001100
3101222001222210000
421120032133030
5310240030430
623340244300
73620262636
oct1130163714
9358058700
10157345740
11808aa202
1244840690
13267a15b6
1416c7ba56
15dc30e60
hex960e7cc

157345740 has 60 divisors (see below), whose sum is σ = 493604496. Its totient is φ = 41958432.

The previous prime is 157345703. The next prime is 157345763. The reversal of 157345740 is 47543751.

157345740 = T9 + T10 + ... + T980.

It is a happy number.

157345740 is a `hidden beast` number, since 1 + 57 + 34 + 574 + 0 = 666.

157345740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1573457402 = 49515363792295200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157345695 and 157345704.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46944 + ... + 50183.

Almost surely, 2157345740 is an apocalyptic number.

157345740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157345740 is an abundant number, since it is smaller than the sum of its proper divisors (336258756).

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

157345740 is a wasteful number, since it uses less digits than its factorization.

157345740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97148 (or 97137 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 157345740 is about 12543.7530269055. The cubic root of 157345740 is about 539.8647809580.

The spelling of 157345740 in words is "one hundred fifty-seven million, three hundred forty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 97127 194254 291381 388508 485635 582762 874143 971270 1165524 1456905 1748286 1942540 2622429 2913810 3496572 4370715 5244858 5827620 7867287 8741430 10489716 13112145 15734574 17482860 26224290 31469148 39336435 52448580 78672870 157345740