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11262864 = 243415997
BaseRepresentation
bin101010111101…
…101110010000
3210012012202010
4222331232100
510340402424
61041222520
7164506224
oct52755620
923165663
1011262864
1163a2a58
123931a40
132444622
1416d2784
15ec7229
hexabdb90

11262864 has 80 divisors (see below), whose sum is σ = 30623040. Its totient is φ = 3563520.

The previous prime is 11262841. The next prime is 11262883. The reversal of 11262864 is 46826211.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116064 + ... + 116160.

It is an arithmetic number, because the mean of its divisors is an integer number (382788).

Almost surely, 211262864 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 11262864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15311520).

11262864 is an abundant number, since it is smaller than the sum of its proper divisors (19360176).

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

11262864 is a wasteful number, since it uses less digits than its factorization.

11262864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 11262864 is about 3356.0190702676. The cubic root of 11262864 is about 224.1556104115.

The spelling of 11262864 in words is "eleven million, two hundred sixty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 59 82 97 118 123 164 177 194 236 246 291 328 354 388 472 492 582 656 708 776 944 984 1164 1416 1552 1968 2328 2419 2832 3977 4656 4838 5723 7257 7954 9676 11446 11931 14514 15908 17169 19352 22892 23862 29028 31816 34338 38704 45784 47724 58056 63632 68676 91568 95448 116112 137352 190896 234643 274704 469286 703929 938572 1407858 1877144 2815716 3754288 5631432 11262864