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138679400 = 2352693397
BaseRepresentation
bin10000100010000…
…01010001101000
3100122221122101002
420101001101220
5241000220100
621432214132
73302520056
oct1021012150
9318848332
10138679400
117130a982
123a53a348
1322967222
14145bd1d6
15c2952d5
hex8441468

138679400 has 24 divisors (see below), whose sum is σ = 322430070. Its totient is φ = 55471680.

The previous prime is 138679379. The next prime is 138679417. The reversal of 138679400 is 4976831.

It can be written as a sum of positive squares in 3 ways, for example, as 71537764 + 67141636 = 8458^2 + 8194^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 346499 + ... + 346898.

Almost surely, 2138679400 is an apocalyptic number.

138679400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138679400 is an abundant number, since it is smaller than the sum of its proper divisors (183750670).

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

138679400 is a wasteful number, since it uses less digits than its factorization.

138679400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693413 (or 693404 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 138679400 is about 11776.2218049763. The cubic root of 138679400 is about 517.6115810335.

The spelling of 138679400 in words is "one hundred thirty-eight million, six hundred seventy-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 693397 1386794 2773588 3466985 5547176 6933970 13867940 17334925 27735880 34669850 69339700 138679400