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138866880 = 26351767127
BaseRepresentation
bin10000100011011…
…11000011000000
3100200022011112210
420101233003000
5241022220010
621440222120
73304230465
oct1021570300
9320264483
10138866880
1171428819
123a60a940
1322a01669
141462b66c
15c2d0b20
hex846f0c0

138866880 has 224 divisors, whose sum is σ = 477536256. Its totient is φ = 34062336.

The previous prime is 138866879. The next prime is 138866891. The reversal of 138866880 is 88668831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1093377 + ... + 1093503.

Almost surely, 2138866880 is an apocalyptic number.

138866880 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 138866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238768128).

138866880 is an abundant number, since it is smaller than the sum of its proper divisors (338669376).

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

138866880 is a wasteful number, since it uses less digits than its factorization.

138866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 138866880 is about 11784.1792247063. The cubic root of 138866880 is about 517.8447281866.

The spelling of 138866880 in words is "one hundred thirty-eight million, eight hundred sixty-six thousand, eight hundred eighty".