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136333032 = 233111015113
BaseRepresentation
bin10000010000001…
…00011011101000
3100111112102202120
420020010123220
5234400124112
621310031240
73243545253
oct1010043350
9314472676
10136333032
116aa58030
12397a8520
1322325244
141416c09a
15be7ee8c
hex82046e8

136333032 has 64 divisors (see below), whose sum is σ = 375572160. Its totient is φ = 40896000.

The previous prime is 136333027. The next prime is 136333069. The reversal of 136333032 is 230333631.

It is a happy number.

It is a super-2 number, since 2×1363330322 = 37173391228626048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 136332993 and 136333011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24108 + ... + 29220.

It is an arithmetic number, because the mean of its divisors is an integer number (5868315).

Almost surely, 2136333032 is an apocalyptic number.

136333032 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 136333032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187786080).

136333032 is an abundant number, since it is smaller than the sum of its proper divisors (239239128).

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

136333032 is a wasteful number, since it uses less digits than its factorization.

136333032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5234 (or 5230 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

The square root of 136333032 is about 11676.1736883279. The cubic root of 136333032 is about 514.6757402029.

Adding to 136333032 its reverse (230333631), we get a palindrome (366666663).

The spelling of 136333032 in words is "one hundred thirty-six million, three hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 808 1111 1212 2222 2424 3333 4444 5113 6666 8888 10226 13332 15339 20452 26664 30678 40904 56243 61356 112486 122712 168729 224972 337458 449944 516413 674916 1032826 1349832 1549239 2065652 3098478 4131304 5680543 6196956 11361086 12393912 17041629 22722172 34083258 45444344 68166516 136333032