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11047904 = 257313743
BaseRepresentation
bin101010001001…
…001111100000
3202210021212122
4222021033200
510312013104
61032443412
7162622430
oct52111740
922707778
1011047904
1162664aa
123849568
13239a82a
1416782c0
15e836be
hexa893e0

11047904 has 96 divisors (see below), whose sum is σ = 26966016. Its totient is φ = 4354560.

The previous prime is 11047891. The next prime is 11047919. The reversal of 11047904 is 40974011.

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, 256907 + ... + 256949.

It is an arithmetic number, because the mean of its divisors is an integer number (280896).

Almost surely, 211047904 is an apocalyptic number.

11047904 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 11047904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13483008).

11047904 is an abundant number, since it is smaller than the sum of its proper divisors (15918112).

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

11047904 is a wasteful number, since it uses less digits than its factorization.

11047904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 11047904 is about 3323.8387445843. The cubic root of 11047904 is about 222.7203825769.

The spelling of 11047904 in words is "eleven million, forty-seven thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 37 43 56 62 74 86 112 124 148 172 217 224 248 259 296 301 344 434 496 518 592 602 688 868 992 1036 1147 1184 1204 1333 1376 1591 1736 2072 2294 2408 2666 3182 3472 4144 4588 4816 5332 6364 6944 8029 8288 9176 9331 9632 10664 11137 12728 16058 18352 18662 21328 22274 25456 32116 36704 37324 42656 44548 49321 50912 64232 74648 89096 98642 128464 149296 178192 197284 256928 298592 345247 356384 394568 690494 789136 1380988 1578272 2761976 5523952 11047904