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11364080 = 2457213223
BaseRepresentation
bin101011010110…
…011011110000
3210101100120212
4223112123300
510402122310
61043323252
7165410300
oct53263360
923340525
1011364080
116462002
123980528
13247b710
14171b600
15ee7205
hexad66f0

11364080 has 120 divisors (see below), whose sum is σ = 33247872. Its totient is φ = 3580416.

The previous prime is 11364079. The next prime is 11364097. The reversal of 11364080 is 8046311.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 50849 + ... + 51071.

Almost surely, 211364080 is an apocalyptic number.

11364080 is a gapful number since it is divisible by the number (10) 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 11364080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623936).

11364080 is an abundant number, since it is smaller than the sum of its proper divisors (21883792).

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

11364080 is a wasteful number, since it uses less digits than its factorization.

11364080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 11364080 is about 3371.0651135806. The cubic root of 11364080 is about 224.8250821589.

The spelling of 11364080 in words is "eleven million, three hundred sixty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 49 52 56 65 70 80 91 98 104 112 130 140 182 196 208 223 245 260 280 364 392 446 455 490 520 560 637 728 784 892 910 980 1040 1115 1274 1456 1561 1784 1820 1960 2230 2548 2899 3122 3185 3568 3640 3920 4460 5096 5798 6244 6370 7280 7805 8920 10192 10927 11596 12488 12740 14495 15610 17840 20293 21854 23192 24976 25480 28990 31220 40586 43708 46384 50960 54635 57980 62440 81172 87416 101465 109270 115960 124880 142051 162344 174832 202930 218540 231920 284102 324688 405860 437080 568204 710255 811720 874160 1136408 1420510 1623440 2272816 2841020 5682040 11364080