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155400768 = 263431967
BaseRepresentation
bin10010100001100…
…11101001000000
3101211102011210000
421100303221000
5304240311033
623230440000
73564612315
oct1120635100
9354364700
10155400768
117a7a0996
1244063000
1326270223
14168d2d0c
15d999a13
hex9433a40

155400768 has 140 divisors (see below), whose sum is σ = 476008192. Its totient is φ = 50077440.

The previous prime is 155400761. The next prime is 155400769. The reversal of 155400768 is 867004551.

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

It is not an unprimeable number, because it can be changed into a prime (155400761) 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, 160221 + ... + 161187.

Almost surely, 2155400768 is an apocalyptic number.

155400768 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 155400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238004096).

155400768 is an abundant number, since it is smaller than the sum of its proper divisors (320607424).

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

155400768 is an equidigital number, since it uses as much as digits as its factorization.

155400768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1003 counting only the distinct ones).

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

The square root of 155400768 is about 12465.9844376607. The cubic root of 155400768 is about 537.6311047054.

The spelling of 155400768 in words is "one hundred fifty-five million, four hundred thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 558 576 648 744 837 864 967 992 1116 1296 1488 1674 1728 1934 1984 2232 2511 2592 2901 2976 3348 3868 4464 5022 5184 5802 5952 6696 7736 8703 8928 10044 11604 13392 15472 17406 17856 20088 23208 26109 26784 29977 30944 34812 40176 46416 52218 53568 59954 61888 69624 78327 80352 89931 92832 104436 119908 139248 156654 160704 179862 185664 208872 239816 269793 278496 313308 359724 417744 479632 539586 556992 626616 719448 809379 835488 959264 1079172 1253232 1438896 1618758 1670976 1918528 2158344 2428137 2506464 2877792 3237516 4316688 4856274 5012928 5755584 6475032 8633376 9712548 12950064 17266752 19425096 25900128 38850192 51800256 77700384 155400768