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156735140 = 225291811493
BaseRepresentation
bin10010101011110…
…01011010100100
3101220220222012012
421111321122210
5310111011030
623315213352
73612140522
oct1125713244
9356828165
10156735140
1180522481
12445a7258
13266196b3
1416b5d312
15db60095
hex95796a4

156735140 has 48 divisors (see below), whose sum is σ = 342604080. Its totient is φ = 60157440.

The previous prime is 156735119. The next prime is 156735143. The reversal of 156735140 is 41537651.

156735140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5494336 + 151240804 = 2344^2 + 12298^2 .

It is a super-2 number, since 2×1567351402 = 49131808221639200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 156735097 and 156735106.

It is not an unprimeable number, because it can be changed into a prime (156735143) 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, 104234 + ... + 105726.

It is an arithmetic number, because the mean of its divisors is an integer number (7137585).

Almost surely, 2156735140 is an apocalyptic number.

156735140 is a gapful number since it is divisible by the number (10) 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 156735140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171302040).

156735140 is an abundant number, since it is smaller than the sum of its proper divisors (185868940).

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

156735140 is a wasteful number, since it uses less digits than its factorization.

156735140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 156735140 is about 12519.3905602469. The cubic root of 156735140 is about 539.1655378729.

The spelling of 156735140 in words is "one hundred fifty-six million, seven hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 181 290 362 580 724 905 1493 1810 2986 3620 5249 5972 7465 10498 14930 20996 26245 29860 43297 52490 86594 104980 173188 216485 270233 432970 540466 865940 1080932 1351165 2702330 5404660 7836757 15673514 31347028 39183785 78367570 156735140