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155940096 = 2831315619
BaseRepresentation
bin10010100101101…
…11010100000000
3101212102120121010
421102313110000
5304410040341
623250200520
73602316564
oct1122672400
9355376533
10155940096
118002a114
1244283140
13263cb860
14169d36a4
15da54716
hex94b7500

155940096 has 72 divisors (see below), whose sum is σ = 446981920. Its totient is φ = 47978496.

The previous prime is 155940041. The next prime is 155940119. The reversal of 155940096 is 690049551.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2175 + ... + 17793.

Almost surely, 2155940096 is an apocalyptic number.

155940096 is a gapful number since it is divisible by the number (16) 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 155940096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223490960).

155940096 is an abundant number, since it is smaller than the sum of its proper divisors (291041824).

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

155940096 is a wasteful number, since it uses less digits than its factorization.

155940096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15651 (or 15637 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 155940096 is about 12487.5976873056. The cubic root of 155940096 is about 538.2523472656.

The spelling of 155940096 in words is "one hundred fifty-five million, nine hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 15619 31238 46857 62476 93714 124952 187428 203047 249904 374856 406094 499808 609141 749712 812188 999616 1218282 1499424 1624376 1999232 2436564 2998848 3248752 3998464 4873128 5997696 6497504 9746256 11995392 12995008 19492512 25990016 38985024 51980032 77970048 155940096