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155293920 = 25325107843
BaseRepresentation
bin10010100000110…
…01100011100000
3101211012202012200
421100121203200
5304223401140
623224253200
73563655645
oct1120314340
9354182180
10155293920
117a728691
1244011200
13262336c2
14168a5dcc
15d978030
hex94198e0

155293920 has 72 divisors (see below), whose sum is σ = 529945416. Its totient is φ = 41411328.

The previous prime is 155293903. The next prime is 155293933. The reversal of 155293920 is 29392551.

It is a happy number.

155293920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52482 + ... + 55361.

It is an arithmetic number, because the mean of its divisors is an integer number (7360353).

Almost surely, 2155293920 is an apocalyptic number.

155293920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155293920 is an abundant number, since it is smaller than the sum of its proper divisors (374651496).

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

155293920 is a wasteful number, since it uses less digits than its factorization.

155293920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107864 (or 107853 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 155293920 is about 12461.6981186354. The cubic root of 155293920 is about 537.5078578264.

The spelling of 155293920 in words is "one hundred fifty-five million, two hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 107843 215686 323529 431372 539215 647058 862744 970587 1078430 1294116 1617645 1725488 1941174 2156860 2588232 3235290 3450976 3882348 4313720 4852935 5176464 6470580 7764696 8627440 9705870 10352928 12941160 15529392 17254880 19411740 25882320 31058784 38823480 51764640 77646960 155293920