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9136728 = 23321131123
BaseRepresentation
bin100010110110…
…101001011000
3122012012020100
4202312221120
54314333403
6523455400
7140442456
oct42665130
918165210
109136728
115180617
123087560
131b7b963
1412db9d6
15c072a3
hex8b6a58

9136728 has 48 divisors (see below), whose sum is σ = 24986520. Its totient is φ = 3015936.

The previous prime is 9136717. The next prime is 9136741. The reversal of 9136728 is 8276319.

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 = 9136692 and 9136701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7575 + ... + 8697.

Almost surely, 29136728 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 9136728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12493260).

9136728 is an abundant number, since it is smaller than the sum of its proper divisors (15849792).

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

9136728 is a wasteful number, since it uses less digits than its factorization.

9136728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1241 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 9136728 is about 3022.7021024243. The cubic root of 9136728 is about 209.0564471358.

The spelling of 9136728 in words is "nine million, one hundred thirty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1123 1356 2034 2246 2712 3369 4068 4492 6738 8136 8984 10107 13476 20214 26952 40428 80856 126899 253798 380697 507596 761394 1015192 1142091 1522788 2284182 3045576 4568364 9136728