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138710016 = 2103329173
BaseRepresentation
bin10000100010010…
…00110000000000
3100200000012101000
420101020300000
5241002210031
621433012000
73303005244
oct1021106000
9320005330
10138710016
1171330985
123a554000
1322978143
14145ca424
15c29e3e6
hex8448c00

138710016 has 176 divisors, whose sum is σ = 427413600. Its totient is φ = 44384256.

The previous prime is 138709999. The next prime is 138710029. The reversal of 138710016 is 610017831.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 801706 + ... + 801878.

Almost surely, 2138710016 is an apocalyptic number.

138710016 is a gapful number since it is divisible by the number (16) 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 138710016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213706800).

138710016 is an abundant number, since it is smaller than the sum of its proper divisors (288703584).

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

138710016 is a wasteful number, since it uses less digits than its factorization.

138710016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 138710016 is about 11777.5216408207. The cubic root of 138710016 is about 517.6496689546.

Adding to 138710016 its reverse (610017831), we get a palindrome (748727847).

The spelling of 138710016 in words is "one hundred thirty-eight million, seven hundred ten thousand, sixteen".