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138788500 = 2253277577
BaseRepresentation
bin10000100010110…
…11111010010100
3100200011012000211
420101123322110
5241012213000
621434415204
73303453124
oct1021337224
9320135024
10138788500
1171384944
123a591504
13229a4a96
141460ac84
15c2b77ba
hex845be94

138788500 has 24 divisors (see below), whose sum is σ = 303115176. Its totient is φ = 55515200.

The previous prime is 138788467. The next prime is 138788513. The reversal of 138788500 is 5887831.

It can be written as a sum of positive squares in 4 ways, for example, as 913936 + 137874564 = 956^2 + 11742^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138289 + ... + 139288.

It is an arithmetic number, because the mean of its divisors is an integer number (12629799).

Almost surely, 2138788500 is an apocalyptic number.

138788500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138788500 is an abundant number, since it is smaller than the sum of its proper divisors (164326676).

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

138788500 is a wasteful number, since it uses less digits than its factorization.

138788500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277596 (or 277584 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 138788500 is about 11780.8531100256. The cubic root of 138788500 is about 517.7472816042.

The spelling of 138788500 in words is "one hundred thirty-eight million, seven hundred eighty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 277577 555154 1110308 1387885 2775770 5551540 6939425 13878850 27757700 34697125 69394250 138788500