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149472900 = 223252166081
BaseRepresentation
bin10001110100011…
…00011010000100
3101102021000021100
420322030122010
5301231113100
622455420100
73463333023
oct1072143204
9342230240
10149472900
1177412225
1242084630
1324c76005
1415bcc8ba
15d1c8400
hex8e8c684

149472900 has 54 divisors (see below), whose sum is σ = 468517322. Its totient is φ = 39859200.

The previous prime is 149472889. The next prime is 149472941. The reversal of 149472900 is 9274941.

It can be written as a sum of positive squares in 3 ways, for example, as 3594816 + 145878084 = 1896^2 + 12078^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 82141 + ... + 83940.

Almost surely, 2149472900 is an apocalyptic number.

149472900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149472900 is an abundant number, since it is smaller than the sum of its proper divisors (319044422).

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

149472900 is a wasteful number, since it uses less digits than its factorization.

149472900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166101 (or 166091 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 149472900 is about 12225.9110090005. The cubic root of 149472900 is about 530.7061904674.

The spelling of 149472900 in words is "one hundred forty-nine million, four hundred seventy-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 166081 332162 498243 664324 830405 996486 1494729 1660810 1992972 2491215 2989458 3321620 4152025 4982430 5978916 7473645 8304050 9964860 12456075 14947290 16608100 24912150 29894580 37368225 49824300 74736450 149472900