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155291040 = 25335103349
BaseRepresentation
bin10010100000110…
…00110110100000
3101211012121021000
421100120312200
5304223303130
623224232000
73563644362
oct1120306640
9354177230
10155291040
117a726503
124400b600
13262322b8
14168a4d32
15d977260
hex9418da0

155291040 has 192 divisors, whose sum is σ = 550368000. Its totient is φ = 40891392.

The previous prime is 155291033. The next prime is 155291057. The reversal of 155291040 is 40192551.

155291040 is a `hidden beast` number, since 1 + 552 + 9 + 104 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 155290995 and 155291013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444786 + ... + 445134.

It is an arithmetic number, because the mean of its divisors is an integer number (2866500).

Almost surely, 2155291040 is an apocalyptic number.

155291040 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 155291040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275184000).

155291040 is an abundant number, since it is smaller than the sum of its proper divisors (395076960).

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

155291040 is a wasteful number, since it uses less digits than its factorization.

155291040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 155291040 is about 12461.5825640245. The cubic root of 155291040 is about 537.5045350257.

The spelling of 155291040 in words is "one hundred fifty-five million, two hundred ninety-one thousand, forty".