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138794500 = 225313131163
BaseRepresentation
bin10000100010111…
…01011000000100
3100200011111021001
420101131120010
5241012411000
621434503044
73303506455
oct1021353004
9320144231
10138794500
11713893a9
123a594a84
13229a7730
141460d12c
15c2b946a
hex845d604

138794500 has 96 divisors (see below), whose sum is σ = 330954624. Its totient is φ = 50544000.

The previous prime is 138794473. The next prime is 138794507. The reversal of 138794500 is 5497831.

It is a self number, because there is not a number n which added to its sum of digits gives 138794500.

It is not an unprimeable number, because it can be changed into a prime (138794507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851419 + ... + 851581.

It is an arithmetic number, because the mean of its divisors is an integer number (3447444).

Almost surely, 2138794500 is an apocalyptic number.

138794500 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 138794500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165477312).

138794500 is an abundant number, since it is smaller than the sum of its proper divisors (192160124).

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

138794500 is a wasteful number, since it uses less digits than its factorization.

138794500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 138794500 is about 11781.1077577620. The cubic root of 138794500 is about 517.7547424503.

The spelling of 138794500 in words is "one hundred thirty-eight million, seven hundred ninety-four thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 131 163 250 260 262 325 326 500 524 650 652 655 815 1300 1310 1625 1630 1703 2119 2620 3250 3260 3275 3406 4075 4238 6500 6550 6812 8150 8476 8515 10595 13100 16300 16375 17030 20375 21190 21353 32750 34060 40750 42380 42575 42706 52975 65500 81500 85150 85412 105950 106765 170300 211900 212875 213530 264875 277589 425750 427060 529750 533825 555178 851500 1059500 1067650 1110356 1387945 2135300 2669125 2775890 5338250 5551780 6939725 10676500 13879450 27758900 34698625 69397250 138794500