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11369904 = 24371319137
BaseRepresentation
bin101011010111…
…110110110000
3210101122120120
4223113312300
510402314104
61043410240
7165433260
oct53276660
923348516
1011369904
116466417
123983980
132481270
14171d7a0
15ee8cd9
hexad7db0

11369904 has 160 divisors (see below), whose sum is σ = 38330880. Its totient is φ = 2820096.

The previous prime is 11369903. The next prime is 11369909. The reversal of 11369904 is 40996311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11369903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82924 + ... + 83060.

It is an arithmetic number, because the mean of its divisors is an integer number (239568).

Almost surely, 211369904 is an apocalyptic number.

11369904 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 11369904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19165440).

11369904 is an abundant number, since it is smaller than the sum of its proper divisors (26960976).

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

11369904 is a wasteful number, since it uses less digits than its factorization.

11369904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 11369904 is about 3371.9288248716. The cubic root of 11369904 is about 224.8634826178.

The spelling of 11369904 in words is "eleven million, three hundred sixty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 42 48 52 56 57 76 78 84 91 104 112 114 133 137 152 156 168 182 208 228 247 266 273 274 304 312 336 364 399 411 456 494 532 546 548 624 728 741 798 822 912 959 988 1064 1092 1096 1456 1482 1596 1644 1729 1781 1918 1976 2128 2184 2192 2603 2877 2964 3192 3288 3458 3562 3836 3952 4368 5187 5206 5343 5754 5928 6384 6576 6916 7124 7672 7809 10374 10412 10686 11508 11856 12467 13832 14248 15344 15618 18221 20748 20824 21372 23016 24934 27664 28496 31236 33839 36442 37401 41496 41648 42744 46032 49868 54663 62472 67678 72884 74802 82992 85488 99736 101517 109326 124944 135356 145768 149604 199472 203034 218652 236873 270712 291536 299208 406068 437304 473746 541424 598416 710619 812136 874608 947492 1421238 1624272 1894984 2842476 3789968 5684952 11369904