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136679616 = 26331923181
BaseRepresentation
bin10000010010110…
…01000011000000
3100112012001012000
420021121003000
5234442221431
621321304000
73246520563
oct1011310300
9315161160
10136679616
1170174467
1239935000
1322416c18
141421c4da
15beec9e6
hex82590c0

136679616 has 224 divisors, whose sum is σ = 443788800. Its totient is φ = 41057280.

The previous prime is 136679611. The next prime is 136679617. The reversal of 136679616 is 616976631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136679611) 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, 755046 + ... + 755226.

It is an arithmetic number, because the mean of its divisors is an integer number (1981200).

Almost surely, 2136679616 is an apocalyptic number.

136679616 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 136679616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221894400).

136679616 is an abundant number, since it is smaller than the sum of its proper divisors (307109184).

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

136679616 is a wasteful number, since it uses less digits than its factorization.

136679616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 228 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 136679616 is about 11691.0057736706. The cubic root of 136679616 is about 515.1115050605. Note that the first 3 decimals are identical.

The spelling of 136679616 in words is "one hundred thirty-six million, six hundred seventy-nine thousand, six hundred sixteen".