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136813710 = 23511478821
BaseRepresentation
bin10000010011110…
…01110010001110
3100112102212010110
420021321302032
5240011014320
621324220450
73250616535
oct1011716216
9315385113
10136813710
1170256190
123999a726
1322462c77
141425531c
15c0275e0
hex8279c8e

136813710 has 64 divisors (see below), whose sum is σ = 365865984. Its totient is φ = 32457600.

The previous prime is 136813709. The next prime is 136813751. The reversal of 136813710 is 17318631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11100 + ... + 19920.

It is an arithmetic number, because the mean of its divisors is an integer number (5716656).

Almost surely, 2136813710 is an apocalyptic number.

136813710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136813710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182932992).

136813710 is an abundant number, since it is smaller than the sum of its proper divisors (229052274).

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

136813710 is a wasteful number, since it uses less digits than its factorization.

136813710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8889.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 136813710 is about 11696.7392892207. The cubic root of 136813710 is about 515.2799056546.

It can be divided in two parts, 13681 and 3710, that added together give a triangular number (17391 = T186).

The spelling of 136813710 in words is "one hundred thirty-six million, eight hundred thirteen thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 235 282 330 470 517 705 1034 1410 1551 2585 3102 5170 7755 8821 15510 17642 26463 44105 52926 88210 97031 132315 194062 264630 291093 414587 485155 582186 829174 970310 1243761 1455465 2072935 2487522 2910930 4145870 4560457 6218805 9120914 12437610 13681371 22802285 27362742 45604570 68406855 136813710