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155413728 = 2534173527
BaseRepresentation
bin10010100001101…
…10110011100000
3101211102211120000
421100312303200
5304241214403
623231020000
73564665151
oct1120666340
9354384500
10155413728
117a7aa6a8
124406a600
13262760b2
14168d7928
15d99d7a3
hex9436ce0

155413728 has 120 divisors (see below), whose sum is σ = 484090992. Its totient is φ = 48743424.

The previous prime is 155413721. The next prime is 155413733. The reversal of 155413728 is 827314551.

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

It is a junction number, because it is equal to n+sod(n) for n = 155413692 and 155413701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155413721) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42301 + ... + 45827.

Almost surely, 2155413728 is an apocalyptic number.

155413728 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 155413728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242045496).

155413728 is an abundant number, since it is smaller than the sum of its proper divisors (328677264).

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

155413728 is a wasteful number, since it uses less digits than its factorization.

155413728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3549 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 155413728 is about 12466.5042413661. The cubic root of 155413728 is about 537.6460499456.

It can be divided in two parts, 1554 and 13728, that multiplied together give a palindrome (21333312).

The spelling of 155413728 in words is "one hundred fifty-five million, four hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1296 1377 1632 1836 2448 2592 2754 3527 3672 4896 5508 7054 7344 10581 11016 14108 14688 21162 22032 28216 31743 42324 44064 56432 59959 63486 84648 95229 112864 119918 126972 169296 179877 190458 239836 253944 285687 338592 359754 380916 479672 507888 539631 571374 719508 761832 959344 1015776 1079262 1142748 1439016 1523664 1618893 1918688 2158524 2285496 2878032 3047328 3237786 4317048 4570992 4856679 5756064 6475572 8634096 9141984 9713358 12951144 17268192 19426716 25902288 38853432 51804576 77706864 155413728