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138521430 = 23251539127
BaseRepresentation
bin10000100000110…
…10101101010110
3100122122121200100
420100122231112
5240430141210
621424554530
73301261365
oct1020325526
9318577610
10138521430
1171212223
123a482a46
1322910358
141457b7dc
15c2635c0
hex841ab56

138521430 has 24 divisors (see below), whose sum is σ = 360155952. Its totient is φ = 36939024.

The previous prime is 138521363. The next prime is 138521437. The reversal of 138521430 is 34125831.

It is a happy number.

138521430 is a `hidden beast` number, since 138 + 521 + 4 + 3 + 0 = 666.

138521430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 138521394 and 138521403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138521437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 769474 + ... + 769653.

It is an arithmetic number, because the mean of its divisors is an integer number (15006498).

Almost surely, 2138521430 is an apocalyptic number.

138521430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138521430 is an abundant number, since it is smaller than the sum of its proper divisors (221634522).

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

138521430 is a wasteful number, since it uses less digits than its factorization.

138521430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539140 (or 1539137 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 138521430 is about 11769.5127341789. The cubic root of 138521430 is about 517.4149688759.

The spelling of 138521430 in words is "one hundred thirty-eight million, five hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1539127 3078254 4617381 7695635 9234762 13852143 15391270 23086905 27704286 46173810 69260715 138521430