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151377104 = 2419577863
BaseRepresentation
bin10010000010111…
…01010011010000
3101112211202100102
421001131103100
5302223031404
623004311532
73515453444
oct1101352320
9345752312
10151377104
11784a294a
12428425a8
1325491968
1416166824
15d45271e
hex905d4d0

151377104 has 40 divisors (see below), whose sum is σ = 309623040. Its totient is φ = 71497728.

The previous prime is 151377091. The next prime is 151377119. The reversal of 151377104 is 401773151.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174977 + ... + 175839.

It is an arithmetic number, because the mean of its divisors is an integer number (7740576).

Almost surely, 2151377104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151377104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154811520).

151377104 is an abundant number, since it is smaller than the sum of its proper divisors (158245936).

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

151377104 is a wasteful number, since it uses less digits than its factorization.

151377104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 29.

The square root of 151377104 is about 12303.5403035061. The cubic root of 151377104 is about 532.9503243166.

The spelling of 151377104 in words is "one hundred fifty-one million, three hundred seventy-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 19 38 76 152 304 577 863 1154 1726 2308 3452 4616 6904 9232 10963 13808 16397 21926 32794 43852 65588 87704 131176 175408 262352 497951 995902 1991804 3983608 7967216 9461069 18922138 37844276 75688552 151377104