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136326528 = 2732139103
BaseRepresentation
bin10000010000000…
…10110110000000
3100111112002211200
420020002312000
5234344422103
621305541200
73243520302
oct1010026600
9314462750
10136326528
116aa53158
12397a4800
13223222b0
1414169972
15be7d0a3
hex8202d80

136326528 has 96 divisors (see below), whose sum is σ = 422516640. Its totient is φ = 41942016.

The previous prime is 136326511. The next prime is 136326529. The reversal of 136326528 is 825623631.

It is a happy number.

136326528 is a `hidden beast` number, since 13 + 632 + 6 + 5 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 136326492 and 136326501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136326529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10425 + ... + 19527.

It is an arithmetic number, because the mean of its divisors is an integer number (4401215).

Almost surely, 2136326528 is an apocalyptic number.

136326528 is a gapful number since it is divisible by the number (18) 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 136326528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211258320).

136326528 is an abundant number, since it is smaller than the sum of its proper divisors (286190112).

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

136326528 is a wasteful number, since it uses less digits than its factorization.

136326528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9136 (or 9121 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 136326528 is about 11675.8951691080. The cubic root of 136326528 is about 514.6675555779.

The spelling of 136326528 in words is "one hundred thirty-six million, three hundred twenty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 9103 14976 18206 27309 36412 54618 72824 81927 109236 118339 145648 163854 218472 236678 291296 327708 355017 436944 473356 582592 655416 710034 873888 946712 1065051 1165184 1310832 1420068 1747776 1893424 2130102 2621664 2840136 3495552 3786848 4260204 5243328 5680272 7573696 8520408 10486656 11360544 15147392 17040816 22721088 34081632 45442176 68163264 136326528