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136617980 = 225192631367
BaseRepresentation
bin10000010010010…
…01111111111100
3100112001220122012
420021021333330
5234433233410
621320110352
73246143102
oct1011117774
9315056565
10136617980
1170132124
12399053b8
13223c4b55
1414203c72
15bed9605
hex8249ffc

136617980 has 48 divisors (see below), whose sum is σ = 303367680. Its totient is φ = 51536448.

The previous prime is 136617973. The next prime is 136617983. The reversal of 136617980 is 89716631.

136617980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136617983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99257 + ... + 100623.

It is an arithmetic number, because the mean of its divisors is an integer number (6320160).

Almost surely, 2136617980 is an apocalyptic number.

136617980 is a gapful number since it is divisible by the number (10) 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 136617980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151683840).

136617980 is an abundant number, since it is smaller than the sum of its proper divisors (166749700).

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

136617980 is a wasteful number, since it uses less digits than its factorization.

136617980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 136617980 is about 11688.3694329021. The cubic root of 136617980 is about 515.0340631631.

The spelling of 136617980 in words is "one hundred thirty-six million, six hundred seventeen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 263 380 526 1052 1315 1367 2630 2734 4997 5260 5468 6835 9994 13670 19988 24985 25973 27340 49970 51946 99940 103892 129865 259730 359521 519460 719042 1438084 1797605 3595210 6830899 7190420 13661798 27323596 34154495 68308990 136617980