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138633860 = 2253127213
BaseRepresentation
bin10000100001101…
…10001010000100
3100122212022220102
420100312022010
5240442240420
621431223232
73302240231
oct1020661204
9318768812
10138633860
1171289742
123a517b18
132294c591
14145aa788
15c286a75
hex8436284

138633860 has 36 divisors (see below), whose sum is σ = 300867084. Its totient is φ = 53657280.

The previous prime is 138633853. The next prime is 138633871. The reversal of 138633860 is 68336831.

It can be written as a sum of positive squares in 2 ways, for example, as 84198976 + 54434884 = 9176^2 + 7378^2 .

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, 15614 + ... + 22826.

It is an arithmetic number, because the mean of its divisors is an integer number (8357419).

Almost surely, 2138633860 is an apocalyptic number.

138633860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138633860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150433542).

138633860 is an abundant number, since it is smaller than the sum of its proper divisors (162233224).

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

138633860 is a wasteful number, since it uses less digits than its factorization.

138633860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7284 (or 7251 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 138633860 is about 11774.2880888825. The cubic root of 138633860 is about 517.5549164962.

The spelling of 138633860 in words is "one hundred thirty-eight million, six hundred thirty-three thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 961 1922 3844 4805 7213 9610 14426 19220 28852 36065 72130 144260 223603 447206 894412 1118015 2236030 4472060 6931693 13863386 27726772 34658465 69316930 138633860