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139324416 = 21037111931
BaseRepresentation
bin10000100110111…
…10110000000000
3100201011102011120
420103132300000
5241131340131
621454112240
73311144430
oct1023366000
9321142146
10139324416
1171710550
123a7ab680
1322b319aa
141470a2c0
15c371496
hex84dec00

139324416 has 352 divisors, whose sum is σ = 503070720. Its totient is φ = 33177600.

The previous prime is 139324411. The next prime is 139324417. The reversal of 139324416 is 614423931.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×1393244162 = 38822585787482112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (139324411) 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, 4494321 + ... + 4494351.

Almost surely, 2139324416 is an apocalyptic number.

139324416 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 139324416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251535360).

139324416 is an abundant number, since it is smaller than the sum of its proper divisors (363746304).

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

139324416 is a wasteful number, since it uses less digits than its factorization.

139324416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 73 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 139324416 is about 11803.5764071742. The cubic root of 139324416 is about 518.4128330919.

The spelling of 139324416 in words is "one hundred thirty-nine million, three hundred twenty-four thousand, four hundred sixteen".