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11397888 = 28331797
BaseRepresentation
bin101011011110…
…101100000000
3210110001222000
4223132230000
510404213023
61044144000
7165610665
oct53365400
923401860
1011397888
116485447
123998000
132490c18
141729a6c
151002243
hexadeb00

11397888 has 144 divisors (see below), whose sum is σ = 36056160. Its totient is φ = 3538944.

The previous prime is 11397833. The next prime is 11397907. The reversal of 11397888 is 88879311.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 117456 + ... + 117552.

It is an arithmetic number, because the mean of its divisors is an integer number (250390).

Almost surely, 211397888 is an apocalyptic number.

11397888 is a gapful number since it is divisible by the number (18) 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 11397888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18028080).

11397888 is an abundant number, since it is smaller than the sum of its proper divisors (24658272).

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

11397888 is an equidigital number, since it uses as much as digits as its factorization.

11397888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 11397888 is about 3376.0758285323. The cubic root of 11397888 is about 225.0478120615.

The spelling of 11397888 in words is "eleven million, three hundred ninety-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 97 102 108 128 136 144 153 192 194 204 216 256 272 288 291 306 384 388 408 432 459 544 576 582 612 768 776 816 864 873 918 1088 1152 1164 1224 1552 1632 1649 1728 1746 1836 2176 2304 2328 2448 2619 3104 3264 3298 3456 3492 3672 4352 4656 4896 4947 5238 6208 6528 6596 6912 6984 7344 9312 9792 9894 10476 12416 13056 13192 13968 14688 14841 18624 19584 19788 20952 24832 26384 27936 29376 29682 37248 39168 39576 41904 44523 52768 55872 58752 59364 74496 79152 83808 89046 105536 111744 117504 118728 158304 167616 178092 211072 223488 237456 316608 335232 356184 422144 474912 633216 670464 712368 949824 1266432 1424736 1899648 2849472 3799296 5698944 11397888