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11424960 = 263253967
BaseRepresentation
bin101011100101…
…010011000000
3210111110002200
4223211103000
510411044320
61044513200
7166052631
oct53452300
923443080
1011424960
1164a3818
1239ab800
1324a0341
141735888
15100a290
hexae54c0

11424960 has 84 divisors (see below), whose sum is σ = 39307008. Its totient is φ = 3045888.

The previous prime is 11424953. The next prime is 11424961. The reversal of 11424960 is 6942411.

It is a super-2 number, since 2×114249602 = 261059422003200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11424961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 897 + ... + 4863.

Almost surely, 211424960 is an apocalyptic number.

11424960 is a gapful number since it is divisible by the number (10) 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 11424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19653504).

11424960 is an abundant number, since it is smaller than the sum of its proper divisors (27882048).

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

11424960 is a wasteful number, since it uses less digits than its factorization.

11424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11424960 is about 3380.0828392215. The cubic root of 11424960 is about 225.2258473004.

The spelling of 11424960 in words is "eleven million, four hundred twenty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 3967 7934 11901 15868 19835 23802 31736 35703 39670 47604 59505 63472 71406 79340 95208 119010 126944 142812 158680 178515 190416 238020 253888 285624 317360 357030 380832 476040 571248 634720 714060 761664 952080 1142496 1269440 1428120 1904160 2284992 2856240 3808320 5712480 11424960