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139660416 = 2733723251
BaseRepresentation
bin10000101001100…
…00110010000000
3100201210111002000
420110300302000
5241223113131
621505224000
73314044140
oct1024606200
9321714060
10139660416
117191aa35
123a932000
1322c1b8cc
1414796920
15c3dace6
hex8530c80

139660416 has 256 divisors, whose sum is σ = 493516800. Its totient is φ = 38016000.

The previous prime is 139660369. The next prime is 139660441. The reversal of 139660416 is 614066931.

139660416 is a `hidden beast` number, since 1 + 39 + 6 + 604 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 556291 + ... + 556541.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 2139660416 is an apocalyptic number.

139660416 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 139660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246758400).

139660416 is an abundant number, since it is smaller than the sum of its proper divisors (353856384).

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

139660416 is a wasteful number, since it uses less digits than its factorization.

139660416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 139660416 is about 11817.8008106415. The cubic root of 139660416 is about 518.8292398236.

The spelling of 139660416 in words is "one hundred thirty-nine million, six hundred sixty thousand, four hundred sixteen".