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138687300 = 223252154097
BaseRepresentation
bin10000100010000…
…11001101000100
3100122222001012200
420101003031010
5241000443200
621432314500
73302552103
oct1021031504
9318861180
10138687300
1171315904
123a542a30
132296a9bb
14145c203a
15c297800
hex8443344

138687300 has 54 divisors (see below), whose sum is σ = 434710458. Its totient is φ = 36983040.

The previous prime is 138687299. The next prime is 138687313. The reversal of 138687300 is 3786831.

It can be written as a sum of positive squares in 3 ways, for example, as 1937664 + 136749636 = 1392^2 + 11694^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 76149 + ... + 77948.

Almost surely, 2138687300 is an apocalyptic number.

138687300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138687300 is an abundant number, since it is smaller than the sum of its proper divisors (296023158).

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

138687300 is a wasteful number, since it uses less digits than its factorization.

138687300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154117 (or 154107 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 138687300 is about 11776.5572218709. The cubic root of 138687300 is about 517.6214095874.

The spelling of 138687300 in words is "one hundred thirty-eight million, six hundred eighty-seven thousand, three 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 154097 308194 462291 616388 770485 924582 1386873 1540970 1849164 2311455 2773746 3081940 3852425 4622910 5547492 6934365 7704850 9245820 11557275 13868730 15409700 23114550 27737460 34671825 46229100 69343650 138687300