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11630432 = 2511193747
BaseRepresentation
bin101100010111…
…011101100000
3210212212221202
4230113131200
510434133212
61053140332
7200566652
oct54273540
923785852
1011630432
116624130
123a8a6a8
132542a18
14178a6d2
15104b0c2
hexb17760

11630432 has 96 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 4769280.

The previous prime is 11630407. The next prime is 11630441. The reversal of 11630432 is 23403611.

11630432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 247433 + ... + 247479.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 211630432 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 11630432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

11630432 is an abundant number, since it is smaller than the sum of its proper divisors (15948448).

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

11630432 is a wasteful number, since it uses less digits than its factorization.

11630432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 11630432 is about 3410.3419183419. The cubic root of 11630432 is about 226.5680232058.

The spelling of 11630432 in words is "eleven million, six hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 32 37 38 44 47 74 76 88 94 148 152 176 188 209 296 304 352 376 407 418 517 592 608 703 752 814 836 893 1034 1184 1406 1504 1628 1672 1739 1786 2068 2812 3256 3344 3478 3572 4136 5624 6512 6688 6956 7144 7733 8272 9823 11248 13024 13912 14288 15466 16544 19129 19646 22496 27824 28576 30932 33041 38258 39292 55648 61864 66082 76516 78584 123728 132164 153032 157168 247456 264328 306064 314336 363451 528656 612128 726902 1057312 1453804 2907608 5815216 11630432