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156138408 = 23336710789
BaseRepresentation
bin10010100111001…
…11101110101000
3101212210122122000
421103213232220
5304432412113
623254331000
73604104006
oct1123475650
9355718560
10156138408
1180155108
1244359a60
132646abba
1416a45a76
15da93373
hex94e7ba8

156138408 has 64 divisors (see below), whose sum is σ = 440232000. Its totient is φ = 51264576.

The previous prime is 156138397. The next prime is 156138419. The reversal of 156138408 is 804831651.

156138408 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (156138397) and next prime (156138419).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9078 + ... + 19866.

It is an arithmetic number, because the mean of its divisors is an integer number (6878625).

Almost surely, 2156138408 is an apocalyptic number.

156138408 is a gapful number since it is divisible by the number (18) 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 156138408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220116000).

156138408 is an abundant number, since it is smaller than the sum of its proper divisors (284093592).

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

156138408 is a wasteful number, since it uses less digits than its factorization.

156138408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10871 (or 10861 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 156138408 is about 12495.5355227377. The cubic root of 156138408 is about 538.4804192103.

The spelling of 156138408 in words is "one hundred fifty-six million, one hundred thirty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 1206 1608 1809 2412 3618 4824 7236 10789 14472 21578 32367 43156 64734 86312 97101 129468 194202 258936 291303 388404 582606 722863 776808 1165212 1445726 2168589 2330424 2891452 4337178 5782904 6505767 8674356 13011534 17348712 19517301 26023068 39034602 52046136 78069204 156138408