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156113730 = 2345375209
BaseRepresentation
bin10010100111000…
…01101101000010
3101212202101210000
421103201231002
5304431114410
623254020430
73603642033
oct1123415502
9355671700
10156113730
1180138613
1244347716
132645c8b6
1416a3aa8a
15da8adc0
hex94e1b42

156113730 has 80 divisors (see below), whose sum is σ = 431200440. Its totient is φ = 40497408.

The previous prime is 156113689. The next prime is 156113731. The reversal of 156113730 is 37311651.

156113730 is a `hidden beast` number, since 15 + 611 + 3 + 7 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 154927809 + 1185921 = 12447^2 + 1089^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 156113694 and 156113703.

It is not an unprimeable number, because it can be changed into a prime (156113731) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27366 + ... + 32574.

Almost surely, 2156113730 is an apocalyptic number.

156113730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 156113730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215600220).

156113730 is an abundant number, since it is smaller than the sum of its proper divisors (275086710).

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

156113730 is a wasteful number, since it uses less digits than its factorization.

156113730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5265 (or 5256 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 156113730 is about 12494.5480110327. The cubic root of 156113730 is about 538.4520483989.

The spelling of 156113730 in words is "one hundred fifty-six million, one hundred thirteen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 270 333 370 405 555 666 810 999 1110 1665 1998 2997 3330 4995 5209 5994 9990 10418 14985 15627 26045 29970 31254 46881 52090 78135 93762 140643 156270 192733 234405 281286 385466 421929 468810 578199 703215 843858 963665 1156398 1406430 1734597 1927330 2109645 2890995 3469194 4219290 5203791 5781990 8672985 10407582 15611373 17345970 26018955 31222746 52037910 78056865 156113730