Search a number
-
+
155904 = 283729
BaseRepresentation
bin100110000100000000
321220212020
4212010000
514442104
63201440
71216350
oct460400
9256766
10155904
11a7151
1276280
1355c68
1440b60
15312d9
hex26100

155904 has 72 divisors (see below), whose sum is σ = 490560. Its totient is φ = 43008.

The previous prime is 155893. The next prime is 155921. The reversal of 155904 is 409551.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5362 + ... + 5390.

2155904 is an apocalyptic number.

155904 is a gapful number since it is divisible by the number (14) 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 155904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245280).

155904 is an abundant number, since it is smaller than the sum of its proper divisors (334656).

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

155904 is an equidigital number, since it uses as much as digits as its factorization.

155904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 155904 is about 394.8468057361. The cubic root of 155904 is about 53.8210813676.

The spelling of 155904 in words is "one hundred fifty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 256 336 348 384 406 448 464 609 672 696 768 812 896 928 1218 1344 1392 1624 1792 1856 2436 2688 2784 3248 3712 4872 5376 5568 6496 7424 9744 11136 12992 19488 22272 25984 38976 51968 77952 155904