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11246664 = 233111329113
BaseRepresentation
bin101010111001…
…110001001000
3210011101112010
4222321301020
510334343124
61041015520
7164411052
oct52716110
923141463
1011246664
116391870
1239245a0
13243a140
1416ca8d2
15ec2529
hexab9c48

11246664 has 128 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 3010560.

The previous prime is 11246659. The next prime is 11246671. The reversal of 11246664 is 46664211.

It is a super-2 number, since 2×112466642 = 252974902257792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 99472 + ... + 99584.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

Almost surely, 211246664 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 11246664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

11246664 is an abundant number, since it is smaller than the sum of its proper divisors (23226936).

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

11246664 is a wasteful number, since it uses less digits than its factorization.

11246664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 171 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 11246664 is about 3353.6046278594. The cubic root of 11246664 is about 224.0480870402.

The spelling of 11246664 in words is "eleven million, two hundred forty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 29 33 39 44 52 58 66 78 87 88 104 113 116 132 143 156 174 226 232 264 286 312 319 339 348 377 429 452 572 638 678 696 754 858 904 957 1131 1144 1243 1276 1356 1469 1508 1716 1914 2262 2486 2552 2712 2938 3016 3277 3432 3729 3828 4147 4407 4524 4972 5876 6554 7458 7656 8294 8814 9048 9831 9944 11752 12441 13108 14916 16159 16588 17628 19662 24882 26216 29832 32318 33176 35256 36047 39324 42601 48477 49764 64636 72094 78648 85202 96954 99528 108141 127803 129272 144188 170404 193908 216282 255606 288376 340808 387816 432564 468611 511212 865128 937222 1022424 1405833 1874444 2811666 3748888 5623332 11246664