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11169920 = 27531563
BaseRepresentation
bin101010100111…
…000010000000
3210000111020202
4222213002000
510324414140
61035224332
7163641236
oct52470200
923014222
1011169920
11633a143
1238a80a8
132411228
1416aa956
15ea9915
hexaa7080

11169920 has 64 divisors (see below), whose sum is σ = 27613440. Its totient is φ = 4316160.

The previous prime is 11169913. The next prime is 11169931. The reversal of 11169920 is 2996111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×111699202 = 249534225612800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19559 + ... + 20121.

It is an arithmetic number, because the mean of its divisors is an integer number (431460).

Almost surely, 211169920 is an apocalyptic number.

11169920 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 11169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13806720).

11169920 is an abundant number, since it is smaller than the sum of its proper divisors (16443520).

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

11169920 is an equidigital number, since it uses as much as digits as its factorization.

11169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 29.

The square root of 11169920 is about 3342.1430250664. The cubic root of 11169920 is about 223.5373102418.

The spelling of 11169920 in words is "eleven million, one hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 563 620 640 992 1126 1240 1984 2252 2480 2815 3968 4504 4960 5630 9008 9920 11260 17453 18016 19840 22520 34906 36032 45040 69812 72064 87265 90080 139624 174530 180160 279248 349060 360320 558496 698120 1116992 1396240 2233984 2792480 5584960 11169920