Search a number
-
+
136895040 = 2632547533
BaseRepresentation
bin10000010100011…
…01101001000000
3100112120222200200
420022031221000
5240021120130
621330045200
73251405622
oct1012155100
9315528620
10136895040
11703012a7
1239a19800
1322490ca9
1414276c12
15c041760
hex828da40

136895040 has 84 divisors (see below), whose sum is σ = 470871804. Its totient is φ = 36504576.

The previous prime is 136895021. The next prime is 136895063. The reversal of 136895040 is 40598631.

It can be written as a sum of positive squares in 2 ways, for example, as 107993664 + 28901376 = 10392^2 + 5376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 136894986 and 136895004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20887 + ... + 26646.

Almost surely, 2136895040 is an apocalyptic number.

136895040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136895040 is an abundant number, since it is smaller than the sum of its proper divisors (333976764).

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

136895040 is a wasteful number, since it uses less digits than its factorization.

136895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47556 (or 47543 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 136895040 is about 11700.2153826329. The cubic root of 136895040 is about 515.3819895109.

The spelling of 136895040 in words is "one hundred thirty-six million, eight hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 47533 95066 142599 190132 237665 285198 380264 427797 475330 570396 712995 760528 855594 950660 1140792 1425990 1521056 1711188 1901320 2138985 2281584 2851980 3042112 3422376 3802640 4277970 4563168 5703960 6844752 7605280 8555940 9126336 11407920 13689504 15210560 17111880 22815840 27379008 34223760 45631680 68447520 136895040