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136511040 = 2635532683
BaseRepresentation
bin10000010001011…
…11111001000000
3100111212110221110
420020233321000
5234421323130
621313523320
73245216241
oct1010577100
9314773843
10136511040
1170069846
1239873540
1322388283
14141b6cc8
15beb7ab0
hex822fe40

136511040 has 112 divisors (see below), whose sum is σ = 441764928. Its totient is φ = 35702784.

The previous prime is 136511021. The next prime is 136511041. The reversal of 136511040 is 40115631.

It is a junction number, because it is equal to n+sod(n) for n = 136510998 and 136511016.

It is not an unprimeable number, because it can be changed into a prime (136511041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49539 + ... + 52221.

Almost surely, 2136511040 is an apocalyptic number.

136511040 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 136511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220882464).

136511040 is an abundant number, since it is smaller than the sum of its proper divisors (305253888).

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

136511040 is a wasteful number, since it uses less digits than its factorization.

136511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 136511040 is about 11683.7939043788. The cubic root of 136511040 is about 514.8996442529.

Adding to 136511040 its reverse (40115631), we get a palindrome (176626671).

The spelling of 136511040 in words is "one hundred thirty-six million, five hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 159 160 192 212 240 265 318 320 424 480 530 636 795 848 960 1060 1272 1590 1696 2120 2544 2683 3180 3392 4240 5088 5366 6360 8049 8480 10176 10732 12720 13415 16098 16960 21464 25440 26830 32196 40245 42928 50880 53660 64392 80490 85856 107320 128784 142199 160980 171712 214640 257568 284398 321960 426597 429280 515136 568796 643920 710995 853194 858560 1137592 1287840 1421990 1706388 2132985 2275184 2575680 2843980 3412776 4265970 4550368 5687960 6825552 8531940 9100736 11375920 13651104 17063880 22751840 27302208 34127760 45503680 68255520 136511040