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151000900 = 22525772617
BaseRepresentation
bin10010000000000…
…01011101000100
3101112010122021221
421000001131010
5302124012100
622552250124
73512325601
oct1100013504
9345118257
10151000900
1178266236
12426a0944
132538c65b
14160a96a8
15d3cb01a
hex9001744

151000900 has 36 divisors (see below), whose sum is σ = 328365268. Its totient is φ = 60272640.

The previous prime is 151000897. The next prime is 151000931. The reversal of 151000900 is 9000151.

It can be written as a sum of positive squares in 6 ways, for example, as 37748736 + 113252164 = 6144^2 + 10642^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56392 + ... + 59008.

Almost surely, 2151000900 is an apocalyptic number.

151000900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151000900 is an abundant number, since it is smaller than the sum of its proper divisors (177364368).

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

151000900 is a wasteful number, since it uses less digits than its factorization.

151000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3208 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 16.

The square root of 151000900 is about 12288.2423478706. The cubic root of 151000900 is about 532.5084601211.

The spelling of 151000900 in words is "one hundred fifty-one million, nine hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 577 1154 2308 2617 2885 5234 5770 10468 11540 13085 14425 26170 28850 52340 57700 65425 130850 261700 1510009 3020018 6040036 7550045 15100090 30200180 37750225 75500450 151000900