Search a number
-
+
136883520 = 263455281
BaseRepresentation
bin10000010100010…
…10110101000000
3100112120101220000
420022022311000
5240020233040
621325520000
73251330214
oct1012126500
9315511800
10136883520
11702a3684
1239a13000
1322488987
1414272944
15c03d130
hex828ad40

136883520 has 140 divisors (see below), whose sum is σ = 487010964. Its totient is φ = 36495360.

The previous prime is 136883503. The next prime is 136883531. The reversal of 136883520 is 25388631.

It can be written as a sum of positive squares in 2 ways, for example, as 32353344 + 104530176 = 5688^2 + 10224^2 .

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 19 ways as a sum of consecutive naturals, for example, 23280 + ... + 28560.

Almost surely, 2136883520 is an apocalyptic number.

136883520 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 136883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243505482).

136883520 is an abundant number, since it is smaller than the sum of its proper divisors (350127444).

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

136883520 is an equidigital number, since it uses as much as digits as its factorization.

136883520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5310 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 136883520 is about 11699.7230736458. The cubic root of 136883520 is about 515.3675322862.

The spelling of 136883520 in words is "one hundred thirty-six million, eight hundred eighty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 5281 6480 8640 10562 12960 15843 21124 25920 26405 31686 42248 47529 52810 63372 79215 84496 95058 105620 126744 142587 158430 168992 190116 211240 237645 253488 285174 316860 337984 380232 422480 427761 475290 506976 570348 633720 712935 760464 844960 855522 950580 1013952 1140696 1267440 1425870 1520928 1689920 1711044 1901160 2138805 2281392 2534880 2851740 3041856 3422088 3802320 4277610 4562784 5069760 5703480 6844176 7604640 8555220 9125568 11406960 13688352 15209280 17110440 22813920 27376704 34220880 45627840 68441760 136883520