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136402824 = 23319893361
BaseRepresentation
bin10000010000101…
…01011110001000
3100111122222111110
420020111132020
5234404342244
621311330320
73244255605
oct1010253610
9314588443
10136402824
116aaa5508
12398209a0
132234ac3c
14141896ac
15be959b9
hex8215788

136402824 has 64 divisors (see below), whose sum is σ = 363096000. Its totient is φ = 42577920.

The previous prime is 136402813. The next prime is 136402829. The reversal of 136402824 is 428204631.

It is a junction number, because it is equal to n+sod(n) for n = 136402791 and 136402800.

It is not an unprimeable number, because it can be changed into a prime (136402829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38904 + ... + 42264.

It is an arithmetic number, because the mean of its divisors is an integer number (5673375).

Almost surely, 2136402824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136402824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181548000).

136402824 is an abundant number, since it is smaller than the sum of its proper divisors (226693176).

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

136402824 is a wasteful number, since it uses less digits than its factorization.

136402824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3478 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 136402824 is about 11679.1619562364. The cubic root of 136402824 is about 514.7635499851.

The spelling of 136402824 in words is "one hundred thirty-six million, four hundred two thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 89 114 152 178 228 267 356 456 534 712 1068 1691 2136 3361 3382 5073 6722 6764 10083 10146 13444 13528 20166 20292 26888 40332 40584 63859 80664 127718 191577 255436 299129 383154 510872 598258 766308 897387 1196516 1532616 1794774 2393032 3589548 5683451 7179096 11366902 17050353 22733804 34100706 45467608 68201412 136402824