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156683540 = 225131135333
BaseRepresentation
bin10010101011011…
…00110100010100
3101220211100102002
421111230310110
5310102333130
623314134432
73611534216
oct1125546424
9356740362
10156683540
1180497732
1244581418
13265cc070
1416b485b6
15db4eb45
hex956cd14

156683540 has 48 divisors (see below), whose sum is σ = 357548688. Its totient is φ = 57329664.

The previous prime is 156683539. The next prime is 156683551. The reversal of 156683540 is 45386651.

It can be written as a sum of positive squares in 8 ways, for example, as 7941124 + 148742416 = 2818^2 + 12196^2 .

It is a junction number, because it is equal to n+sod(n) for n = 156683494 and 156683503.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 26714 + ... + 32046.

It is an arithmetic number, because the mean of its divisors is an integer number (7448931).

Almost surely, 2156683540 is an apocalyptic number.

156683540 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 156683540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178774344).

156683540 is an abundant number, since it is smaller than the sum of its proper divisors (200865148).

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

156683540 is a wasteful number, since it uses less digits than its factorization.

156683540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 156683540 is about 12517.3295874160. The cubic root of 156683540 is about 539.1063637457.

The spelling of 156683540 in words is "one hundred fifty-six million, six hundred eighty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 452 565 1130 1469 2260 2938 5333 5876 7345 10666 14690 21332 26665 29380 53330 69329 106660 138658 277316 346645 602629 693290 1205258 1386580 2410516 3013145 6026290 7834177 12052580 15668354 31336708 39170885 78341770 156683540