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11243904 = 27374789
BaseRepresentation
bin101010111001…
…000110000000
3210011020201220
4222321012000
510334301104
61040555040
7164400030
oct52710600
923136656
1011243904
11638a791
123922a80
132438ac9
1416c98c0
15ec17d9
hexab9180

11243904 has 128 divisors (see below), whose sum is σ = 35251200. Its totient is φ = 3108864.

The previous prime is 11243891. The next prime is 11243923. The reversal of 11243904 is 40934211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×112439042 = 252850754322432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 126292 + ... + 126380.

It is an arithmetic number, because the mean of its divisors is an integer number (275400).

Almost surely, 211243904 is an apocalyptic number.

11243904 is a gapful number since it is divisible by the number (14) 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 11243904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17625600).

11243904 is an abundant number, since it is smaller than the sum of its proper divisors (24007296).

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

11243904 is an equidigital number, since it uses as much as digits as its factorization.

11243904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 11243904 is about 3353.1931050866. The cubic root of 11243904 is about 224.0297579513.

The spelling of 11243904 in words is "eleven million, two hundred forty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 89 94 96 112 128 141 168 178 188 192 224 267 282 329 336 356 376 384 448 534 564 623 658 672 712 752 896 987 1068 1128 1246 1316 1344 1424 1504 1869 1974 2136 2256 2492 2632 2688 2848 3008 3738 3948 4183 4272 4512 4984 5264 5696 6016 7476 7896 8366 8544 9024 9968 10528 11392 12549 14952 15792 16732 17088 18048 19936 21056 25098 29281 29904 31584 33464 34176 39872 42112 50196 58562 59808 63168 66928 79744 87843 100392 117124 119616 126336 133856 175686 200784 234248 239232 267712 351372 401568 468496 535424 702744 803136 936992 1405488 1606272 1873984 2810976 3747968 5621952 11243904