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138792200 = 2352693961
BaseRepresentation
bin10000100010111…
…00110100001000
3100200011101002212
420101130310020
5241012322300
621434444252
73303466661
oct1021346410
9320141085
10138792200
11713876a8
123a593688
13229a6681
141460c368
15c2b8935
hex845cd08

138792200 has 24 divisors (see below), whose sum is σ = 322692330. Its totient is φ = 55516800.

The previous prime is 138792167. The next prime is 138792209. The reversal of 138792200 is 2297831.

It can be written as a sum of positive squares in 3 ways, for example, as 85414564 + 53377636 = 9242^2 + 7306^2 .

It is not an unprimeable number, because it can be changed into a prime (138792209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 346781 + ... + 347180.

Almost surely, 2138792200 is an apocalyptic number.

138792200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138792200 is an abundant number, since it is smaller than the sum of its proper divisors (183900130).

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

138792200 is a wasteful number, since it uses less digits than its factorization.

138792200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693977 (or 693968 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 138792200 is about 11781.0101434470. The cubic root of 138792200 is about 517.7518824847.

The spelling of 138792200 in words is "one hundred thirty-eight million, seven hundred ninety-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 693961 1387922 2775844 3469805 5551688 6939610 13879220 17349025 27758440 34698050 69396100 138792200