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136401732 = 2236291613
BaseRepresentation
bin10000010000101…
…01001101000100
3100111122221000000
420020111031010
5234404323412
621311321300
73244252455
oct1010251504
9314587000
10136401732
116aaa4705
1239820230
132234a5ac
141418912c
15be954dc
hex8215344

136401732 has 84 divisors (see below), whose sum is σ = 370461420. Its totient is φ = 43872192.

The previous prime is 136401709. The next prime is 136401739. The reversal of 136401732 is 237104631.

136401732 is a `hidden beast` number, since 1 + 3 + 640 + 17 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78428736 + 57972996 = 8856^2 + 7614^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 = 136401696 and 136401705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136401739) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 83758 + ... + 85370.

It is an arithmetic number, because the mean of its divisors is an integer number (4410255).

Almost surely, 2136401732 is an apocalyptic number.

136401732 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 136401732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185230710).

136401732 is an abundant number, since it is smaller than the sum of its proper divisors (234059688).

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

136401732 is a wasteful number, since it uses less digits than its factorization.

136401732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 136401732 is about 11679.1152062132. The cubic root of 136401732 is about 514.7621763007.

The spelling of 136401732 in words is "one hundred thirty-six million, four hundred one thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 729 783 972 1044 1458 1566 1613 2349 2916 3132 3226 4698 4839 6452 7047 9396 9678 14094 14517 19356 21141 28188 29034 42282 43551 46777 58068 84564 87102 93554 130653 140331 174204 187108 261306 280662 391959 420993 522612 561324 783918 841986 1175877 1262979 1567836 1683972 2351754 2525958 3788937 4703508 5051916 7577874 11366811 15155748 22733622 34100433 45467244 68200866 136401732