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138911300 = 225211293431
BaseRepresentation
bin10000100011110…
…01111001000100
3100200101102110222
420101321321010
5241030130200
621441203512
73304504133
oct1021717104
9320342428
10138911300
1171459130
123a630598
1322a18948
141463d91a
15c2ddd85
hex8479e44

138911300 has 72 divisors (see below), whose sum is σ = 330728832. Its totient is φ = 50224000.

The previous prime is 138911293. The next prime is 138911303. The reversal of 138911300 is 3119831.

It is a self number, because there is not a number n which added to its sum of digits gives 138911300.

It is not an unprimeable number, because it can be changed into a prime (138911303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322085 + ... + 322515.

It is an arithmetic number, because the mean of its divisors is an integer number (4593456).

Almost surely, 2138911300 is an apocalyptic number.

138911300 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 138911300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165364416).

138911300 is an abundant number, since it is smaller than the sum of its proper divisors (191817532).

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

138911300 is a wasteful number, since it uses less digits than its factorization.

138911300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 138911300 is about 11786.0638043411. The cubic root of 138911300 is about 517.8999374407.

The spelling of 138911300 in words is "one hundred thirty-eight million, nine hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 293 431 550 586 862 1100 1172 1465 1724 2155 2930 3223 4310 4741 5860 6446 7325 8620 9482 10775 12892 14650 16115 18964 21550 23705 29300 32230 43100 47410 64460 80575 94820 118525 126283 161150 237050 252566 322300 474100 505132 631415 1262830 1389113 2525660 2778226 3157075 5556452 6314150 6945565 12628300 13891130 27782260 34727825 69455650 138911300