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11370816 = 2632191039
BaseRepresentation
bin101011011000…
…000101000000
3210101200211100
4223120011000
510402331231
61043414400
7165436032
oct53300500
923350740
1011370816
116467076
123984400
1324817c2
14171dc52
15ee91e6
hexad8140

11370816 has 84 divisors (see below), whose sum is σ = 34340800. Its totient is φ = 3587328.

The previous prime is 11370781. The next prime is 11370823. The reversal of 11370816 is 61807311.

It is a self number, because there is not a number n which added to its sum of digits gives 11370816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10425 + ... + 11463.

Almost surely, 211370816 is an apocalyptic number.

11370816 is a gapful number since it is divisible by the number (16) 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 11370816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17170400).

11370816 is an abundant number, since it is smaller than the sum of its proper divisors (22969984).

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

11370816 is a wasteful number, since it uses less digits than its factorization.

11370816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 11370816 is about 3372.0640563311. The cubic root of 11370816 is about 224.8694946888.

The spelling of 11370816 in words is "eleven million, three hundred seventy thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1039 1216 1368 1824 2078 2736 3117 3648 4156 5472 6234 8312 9351 10944 12468 16624 18702 19741 24936 33248 37404 39482 49872 59223 66496 74808 78964 99744 118446 149616 157928 177669 199488 236892 299232 315856 355338 473784 598464 631712 710676 947568 1263424 1421352 1895136 2842704 3790272 5685408 11370816