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138258600 = 23352230431
BaseRepresentation
bin10000011110110…
…10100010101000
3100122011021010220
420033122202220
5240343233400
621415210040
73266115204
oct1017324250
9318137126
10138258600
1171052807
123a376920
132284a82c
141450db04
15c2107a0
hex83da8a8

138258600 has 48 divisors (see below), whose sum is σ = 428603520. Its totient is φ = 36868800.

The previous prime is 138258583. The next prime is 138258613. The reversal of 138258600 is 6852831.

It is a happy number.

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, 114616 + ... + 115815.

It is an arithmetic number, because the mean of its divisors is an integer number (8929240).

Almost surely, 2138258600 is an apocalyptic number.

138258600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138258600 is an abundant number, since it is smaller than the sum of its proper divisors (290344920).

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

138258600 is a wasteful number, since it uses less digits than its factorization.

138258600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230450 (or 230441 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 138258600 is about 11758.3417198175. The cubic root of 138258600 is about 517.0875146633.

The spelling of 138258600 in words is "one hundred thirty-eight million, two hundred fifty-eight thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 230431 460862 691293 921724 1152155 1382586 1843448 2304310 2765172 3456465 4608620 5530344 5760775 6912930 9217240 11521550 13825860 17282325 23043100 27651720 34564650 46086200 69129300 138258600