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138805700 = 225211257491
BaseRepresentation
bin10000100011000…
…00000111000100
3100200012001121212
420101200013010
5241013240300
621435030552
73303554225
oct1021400704
9320161555
10138805700
1171396860
123a59b458
13229ac867
141461324c
15c2bc935
hex84601c4

138805700 has 72 divisors (see below), whose sum is σ = 330541344. Its totient is φ = 50176000.

The previous prime is 138805699. The next prime is 138805721. The reversal of 138805700 is 7508831.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282455 + ... + 282945.

It is an arithmetic number, because the mean of its divisors is an integer number (4590852).

Almost surely, 2138805700 is an apocalyptic number.

138805700 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 138805700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165270672).

138805700 is an abundant number, since it is smaller than the sum of its proper divisors (191735644).

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

138805700 is a wasteful number, since it uses less digits than its factorization.

138805700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 138805700 is about 11781.5830854771. The cubic root of 138805700 is about 517.7686687878.

The spelling of 138805700 in words is "one hundred thirty-eight million, eight hundred five thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 257 275 491 514 550 982 1028 1100 1285 1964 2455 2570 2827 4910 5140 5401 5654 6425 9820 10802 11308 12275 12850 14135 21604 24550 25700 27005 28270 49100 54010 56540 70675 108020 126187 135025 141350 252374 270050 282700 504748 540100 630935 1261870 1388057 2523740 2776114 3154675 5552228 6309350 6940285 12618700 13880570 27761140 34701425 69402850 138805700