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155072016 = 24331132633
BaseRepresentation
bin10010011111000…
…11011000010000
3101210210110211000
421033203120100
5304144301031
623215422000
73562043001
oct1117433020
9353713730
10155072016
117a5969a0
1243b24900
13261866b8
14168491a8
15d9323e6
hex93e3610

155072016 has 80 divisors (see below), whose sum is σ = 485593920. Its totient is φ = 46990080.

The previous prime is 155071999. The next prime is 155072033. The reversal of 155072016 is 610270551.

It is an interprime number because it is at equal distance from previous prime (155071999) and next prime (155072033).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 11565 + ... + 21068.

It is an arithmetic number, because the mean of its divisors is an integer number (6069924).

Almost surely, 2155072016 is an apocalyptic number.

155072016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

155072016 is an abundant number, since it is smaller than the sum of its proper divisors (330521904).

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

155072016 is a wasteful number, since it uses less digits than its factorization.

155072016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32661 (or 32649 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 155072016 is about 12452.7914942795. The cubic root of 155072016 is about 537.2517155796.

The spelling of 155072016 in words is "one hundred fifty-five million, seventy-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 32633 65266 97899 130532 195798 261064 293697 358963 391596 522128 587394 717926 783192 881091 1076889 1174788 1435852 1566384 1762182 2153778 2349576 2871704 3230667 3524364 4307556 4699152 5743408 6461334 7048728 8615112 9692001 12922668 14097456 17230224 19384002 25845336 38768004 51690672 77536008 155072016