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11375364 = 22371113947
BaseRepresentation
bin101011011001…
…001100000100
3210101221001210
4223121030010
510403002424
61043451420
7165455220
oct53311404
923357053
1011375364
11646a530
123986b70
1324838b0
141721780
15eea729
hexad9304

11375364 has 96 divisors (see below), whose sum is σ = 35675136. Its totient is φ = 2724480.

The previous prime is 11375339. The next prime is 11375389. The reversal of 11375364 is 46357311.

It is an interprime number because it is at equal distance from previous prime (11375339) and next prime (11375389).

It is a super-2 number, since 2×113753642 = 258797812264992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11539 + ... + 12485.

It is an arithmetic number, because the mean of its divisors is an integer number (371616).

Almost surely, 211375364 is an apocalyptic number.

11375364 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 11375364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17837568).

11375364 is an abundant number, since it is smaller than the sum of its proper divisors (24299772).

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

11375364 is a wasteful number, since it uses less digits than its factorization.

11375364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 983 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 11375364 is about 3372.7383533266. The cubic root of 11375364 is about 224.8994711403.

The spelling of 11375364 in words is "eleven million, three hundred seventy-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 947 1001 1092 1716 1894 2002 2841 3003 3788 4004 5682 6006 6629 10417 11364 12012 12311 13258 19887 20834 24622 26516 31251 36933 39774 41668 49244 62502 72919 73866 79548 86177 125004 135421 145838 147732 172354 218757 258531 270842 291676 344708 406263 437514 517062 541684 812526 875028 947947 1034124 1625052 1895894 2843841 3791788 5687682 11375364