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155195040 = 2535711131719
BaseRepresentation
bin10010100000000…
…01011010100000
3101211000201120110
421100001122200
5304212220130
623222211320
73563064450
oct1120013240
9354021513
10155195040
117a670370
1243b83b40
13261ca6b0
141687bd60
15d958ab0
hex94016a0

155195040 has 768 divisors, whose sum is σ = 731566080. Its totient is φ = 26542080.

The previous prime is 155195039. The next prime is 155195069. The reversal of 155195040 is 40591551.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 155194989 and 155195007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8168151 + ... + 8168169.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 2155195040 is an apocalyptic number.

155195040 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 155195040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365783040).

155195040 is an abundant number, since it is smaller than the sum of its proper divisors (576371040).

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

155195040 is a wasteful number, since it uses less digits than its factorization.

155195040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The square root of 155195040 is about 12457.7301303247. The cubic root of 155195040 is about 537.3937514887.

The spelling of 155195040 in words is "one hundred fifty-five million, one hundred ninety-five thousand, forty".