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136220832 = 25331121303
BaseRepresentation
bin10000001111010…
…01000010100000
3100111022201212000
420013221002200
5234333031312
621303404000
73242600166
oct1007510240
9314281760
10136220832
116a990800
1239753600
13222b6157
141413d236
15be5badc
hex81e90a0

136220832 has 144 divisors (see below), whose sum is σ = 437048640. Its totient is φ = 41247360.

The previous prime is 136220831. The next prime is 136220933. The reversal of 136220832 is 238022631.

136220832 is a `hidden beast` number, since 1 + 3 + 622 + 0 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1362208322 = 37112230141544448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 136220796 and 136220805.

It is not an unprimeable number, because it can be changed into a prime (136220831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103893 + ... + 105195.

It is an arithmetic number, because the mean of its divisors is an integer number (3035060).

Almost surely, 2136220832 is an apocalyptic number.

136220832 is a gapful number since it is divisible by the number (12) 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 136220832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218524320).

136220832 is an abundant number, since it is smaller than the sum of its proper divisors (300827808).

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

136220832 is a wasteful number, since it uses less digits than its factorization.

136220832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 136220832 is about 11671.3680432073. The cubic root of 136220832 is about 514.5345113655.

The spelling of 136220832 in words is "one hundred thirty-six million, two hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 121 132 144 176 198 216 242 264 288 297 352 363 396 432 484 528 594 726 792 864 968 1056 1089 1188 1303 1452 1584 1936 2178 2376 2606 2904 3168 3267 3872 3909 4356 4752 5212 5808 6534 7818 8712 9504 10424 11616 11727 13068 14333 15636 17424 20848 23454 26136 28666 31272 34848 35181 41696 42999 46908 52272 57332 62544 70362 85998 93816 104544 114664 125088 128997 140724 157663 171996 187632 229328 257994 281448 315326 343992 375264 386991 458656 472989 515988 562896 630652 687984 773982 945978 1031976 1125792 1261304 1375968 1418967 1547964 1891956 2063952 2522608 2837934 3095928 3783912 4127904 4256901 5045216 5675868 6191856 7567824 8513802 11351736 12383712 15135648 17027604 22703472 34055208 45406944 68110416 136220832