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11285976 = 2331361593
BaseRepresentation
bin101011000011…
…010111011000
3210020101110010
4223003113120
510342122401
61041521520
7164633502
oct53032730
923211403
1011285976
116409359
1239432a0
132451cc0
1416dad72
15ecded6
hexac35d8

11285976 has 64 divisors (see below), whose sum is σ = 30935520. Its totient is φ = 3409920.

The previous prime is 11285941. The next prime is 11285983. The reversal of 11285976 is 67958211.

11285976 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (30240) is a multiple of the sum of its prime divisors (672).

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, 18736 + ... + 19328.

Almost surely, 211285976 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 11285976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467760).

11285976 is an abundant number, since it is smaller than the sum of its proper divisors (19649544).

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

11285976 is a wasteful number, since it uses less digits than its factorization.

11285976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 672 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The square root of 11285976 is about 3359.4606710006. The cubic root of 11285976 is about 224.3088320912.

The spelling of 11285976 in words is "eleven million, two hundred eighty-five thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 183 244 312 366 488 593 732 793 1186 1464 1586 1779 2372 2379 3172 3558 4744 4758 6344 7116 7709 9516 14232 15418 19032 23127 30836 36173 46254 61672 72346 92508 108519 144692 185016 217038 289384 434076 470249 868152 940498 1410747 1880996 2821494 3761992 5642988 11285976