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156345660 = 22335419691
BaseRepresentation
bin10010101000110…
…10010100111100
3101220012011221000
421110122110330
5310011030120
623303010300
73605626152
oct1124322474
9356164830
10156345660
1180286899
1244439990
1326511333
1416a9b3d2
15dad4990
hex951a53c

156345660 has 96 divisors (see below), whose sum is σ = 488275200. Its totient is φ = 41532480.

The previous prime is 156345659. The next prime is 156345767. The reversal of 156345660 is 66543651.

156345660 is a `hidden beast` number, since 15 + 634 + 5 + 6 + 6 + 0 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 225915 + ... + 226605.

It is an arithmetic number, because the mean of its divisors is an integer number (5086200).

Almost surely, 2156345660 is an apocalyptic number.

156345660 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 156345660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244137600).

156345660 is an abundant number, since it is smaller than the sum of its proper divisors (331929540).

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

156345660 is a wasteful number, since it uses less digits than its factorization.

156345660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 156345660 is about 12503.8258145257. The cubic root of 156345660 is about 538.7185664698.

The spelling of 156345660 in words is "one hundred fifty-six million, three hundred forty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 419 540 691 838 1257 1382 1676 2073 2095 2514 2764 3455 3771 4146 4190 5028 6219 6285 6910 7542 8292 8380 10365 11313 12438 12570 13820 15084 18657 18855 20730 22626 24876 25140 31095 37314 37710 41460 45252 56565 62190 74628 75420 93285 113130 124380 186570 226260 289529 373140 579058 868587 1158116 1447645 1737174 2605761 2895290 3474348 4342935 5211522 5790580 7817283 8685870 10423044 13028805 15634566 17371740 26057610 31269132 39086415 52115220 78172830 156345660