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136540632 = 23359211457
BaseRepresentation
bin10000010001101…
…11000111011000
3100111220222112110
420020313013120
5234423300012
621314312320
73245401434
oct1010670730
9314828473
10136540632
1170089aa8
12398886a0
1322398897
14141c39c4
15bec173c
hex82371d8

136540632 has 64 divisors (see below), whose sum is σ = 349545600. Its totient is φ = 44432640.

The previous prime is 136540603. The next prime is 136540633. The reversal of 136540632 is 236045631.

It is a self number, because there is not a number n which added to its sum of digits gives 136540632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136540633) 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, 298548 + ... + 299004.

It is an arithmetic number, because the mean of its divisors is an integer number (5461650).

Almost surely, 2136540632 is an apocalyptic number.

136540632 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 136540632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174772800).

136540632 is an abundant number, since it is smaller than the sum of its proper divisors (213004968).

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

136540632 is a wasteful number, since it uses less digits than its factorization.

136540632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 136540632 is about 11685.0602052364. The cubic root of 136540632 is about 514.9368471277.

The spelling of 136540632 in words is "one hundred thirty-six million, five hundred forty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 211 236 354 422 457 472 633 708 844 914 1266 1371 1416 1688 1828 2532 2742 3656 5064 5484 10968 12449 24898 26963 37347 49796 53926 74694 80889 96427 99592 107852 149388 161778 192854 215704 289281 298776 323556 385708 578562 647112 771416 1157124 2314248 5689193 11378386 17067579 22756772 34135158 45513544 68270316 136540632