Search a number
-
+
156082032 = 24331753401
BaseRepresentation
bin10010100110110…
…01111101110000
3101212200210022000
421103121331300
5304424111112
623253214000
73603450441
oct1123317560
9355623260
10156082032
1180116817
1244331300
132644b342
1416a2d2c8
15da817dc
hex94d9f70

156082032 has 160 divisors (see below), whose sum is σ = 484522560. Its totient is φ = 47923200.

The previous prime is 156082009. The next prime is 156082051. The reversal of 156082032 is 230280651.

156082032 is a `hidden beast` number, since 1 + 5 + 608 + 20 + 32 = 666.

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 = 156081987 and 156082005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389032 + ... + 389432.

It is an arithmetic number, because the mean of its divisors is an integer number (3028266).

Almost surely, 2156082032 is an apocalyptic number.

156082032 is a gapful number since it is divisible by the number (12) 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 156082032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242261280).

156082032 is an abundant number, since it is smaller than the sum of its proper divisors (328440528).

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

156082032 is a wasteful number, since it uses less digits than its factorization.

156082032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 156082032 is about 12493.2794733809. The cubic root of 156082032 is about 538.4156027292.

The spelling of 156082032 in words is "one hundred fifty-six million, eighty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 53 54 68 72 102 106 108 136 144 153 159 204 212 216 272 306 318 401 408 424 432 459 477 612 636 802 816 848 901 918 954 1203 1224 1272 1431 1604 1802 1836 1908 2406 2448 2544 2703 2862 3208 3604 3609 3672 3816 4812 5406 5724 6416 6817 7208 7218 7344 7632 8109 9624 10812 10827 11448 13634 14416 14436 16218 19248 20451 21253 21624 21654 22896 24327 27268 28872 32436 40902 42506 43248 43308 48654 54536 57744 61353 63759 64872 81804 85012 86616 97308 109072 122706 127518 129744 163608 170024 173232 184059 191277 194616 245412 255036 327216 340048 361301 368118 382554 389232 490824 510072 573831 722602 736236 765108 981648 1020144 1083903 1147662 1445204 1472472 1530216 2167806 2295324 2890408 2944944 3060432 3251709 4335612 4590648 5780816 6503418 8671224 9181296 9755127 13006836 17342448 19510254 26013672 39020508 52027344 78041016 156082032