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155072840 = 23513674451
BaseRepresentation
bin10010011111000…
…11100101001000
3101210210111221112
421033203211020
5304144312330
623215425452
73562045256
oct1117434510
9353714845
10155072840
117a59757a
1243b25288
1326186ba0
14168495d6
15d932795
hex93e3948

155072840 has 64 divisors (see below), whose sum is σ = 381447360. Its totient is φ = 56390400.

The previous prime is 155072839. The next prime is 155072843. The reversal of 155072840 is 48270551.

It is a junction number, because it is equal to n+sod(n) for n = 155072797 and 155072806.

It is not an unprimeable number, because it can be changed into a prime (155072843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32615 + ... + 37065.

It is an arithmetic number, because the mean of its divisors is an integer number (5960115).

Almost surely, 2155072840 is an apocalyptic number.

155072840 is a gapful number since it is divisible by the number (10) 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 155072840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190723680).

155072840 is an abundant number, since it is smaller than the sum of its proper divisors (226374520).

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

155072840 is a wasteful number, since it uses less digits than its factorization.

155072840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4542 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 155072840 is about 12452.8245791868. The cubic root of 155072840 is about 537.2526671689.

The spelling of 155072840 in words is "one hundred fifty-five million, seventy-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 67 104 130 134 260 268 335 520 536 670 871 1340 1742 2680 3484 4355 4451 6968 8710 8902 17420 17804 22255 34840 35608 44510 57863 89020 115726 178040 231452 289315 298217 462904 578630 596434 1157260 1192868 1491085 2314520 2385736 2982170 3876821 5964340 7753642 11928680 15507284 19384105 31014568 38768210 77536420 155072840