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136318416 = 24313218459
BaseRepresentation
bin10000010000000…
…00110111010000
3100111111200201020
420020000313100
5234344142131
621305435440
73243454533
oct1010006720
9314450636
10136318416
116aa48053
123979bb80
132231b6b0
1414166a1a
15be7a996
hex8200dd0

136318416 has 40 divisors (see below), whose sum is σ = 379246560. Its totient is φ = 41943936.

The previous prime is 136318411. The next prime is 136318451. The reversal of 136318416 is 614813631.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136318411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108606 + ... + 109853.

It is an arithmetic number, because the mean of its divisors is an integer number (9481164).

Almost surely, 2136318416 is an apocalyptic number.

136318416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136318416 is an abundant number, since it is smaller than the sum of its proper divisors (242928144).

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

136318416 is a wasteful number, since it uses less digits than its factorization.

136318416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218483 (or 218477 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 136318416 is about 11675.5477815818. The cubic root of 136318416 is about 514.6573470829.

The spelling of 136318416 in words is "one hundred thirty-six million, three hundred eighteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 218459 436918 655377 873836 1310754 1747672 2621508 2839967 3495344 5243016 5679934 8519901 10486032 11359868 17039802 22719736 34079604 45439472 68159208 136318416