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138253500 = 223353721119
BaseRepresentation
bin10000011110110…
…01010010111100
3100122011000011000
420033121102330
5240343103000
621415130300
73266064300
oct1017312274
9318130130
10138253500
11710499a0
123a373990
1322848408
141450bd00
15c20e000
hex83d94bc

138253500 has 576 divisors, whose sum is σ = 597542400. Its totient is φ = 27216000.

The previous prime is 138253487. The next prime is 138253513. The reversal of 138253500 is 5352831.

138253500 is a `hidden beast` number, since 138 + 25 + 3 + 500 = 666.

138253500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138253487) and next prime (138253513).

It is a super-2 number, since 2×1382535002 = 38228060524500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7276491 + ... + 7276509.

It is an arithmetic number, because the mean of its divisors is an integer number (1037400).

Almost surely, 2138253500 is an apocalyptic number.

138253500 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 138253500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298771200).

138253500 is an abundant number, since it is smaller than the sum of its proper divisors (459288900).

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

138253500 is a wasteful number, since it uses less digits than its factorization.

138253500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 138253500 is about 11758.1248505023. The cubic root of 138253500 is about 517.0811565808.

The spelling of 138253500 in words is "one hundred thirty-eight million, two hundred fifty-three thousand, five hundred".