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11389320 = 23325171861
BaseRepresentation
bin101011011100…
…100110001000
3210102122012200
4223130212020
510403424240
61044040200
7165544005
oct53344610
923378180
1011389320
116479a68
123993060
13248a057
1417268ac
15eee930
hexadc988

11389320 has 96 divisors (see below), whose sum is σ = 39213720. Its totient is φ = 2856960.

The previous prime is 11389319. The next prime is 11389321. The reversal of 11389320 is 2398311.

It is an interprime number because it is at equal distance from previous prime (11389319) and next prime (11389321).

It can be written as a sum of positive squares in 4 ways, for example, as 6749604 + 4639716 = 2598^2 + 2154^2 .

It is a super-2 number, since 2×113893202 = 259433220124800, which contains 22 as substring.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (11389321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5190 + ... + 7050.

Almost surely, 211389320 is an apocalyptic number.

11389320 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 11389320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19606860).

11389320 is an abundant number, since it is smaller than the sum of its proper divisors (27824400).

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

11389320 is a wasteful number, since it uses less digits than its factorization.

11389320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 11389320 is about 3374.8066611289. The cubic root of 11389320 is about 224.9914070792.

The spelling of 11389320 in words is "eleven million, three hundred eighty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 1861 2040 3060 3722 5583 6120 7444 9305 11166 14888 16749 18610 22332 27915 31637 33498 37220 44664 55830 63274 66996 74440 83745 94911 111660 126548 133992 158185 167490 189822 223320 253096 284733 316370 334980 379644 474555 569466 632740 669960 759288 949110 1138932 1265480 1423665 1898220 2277864 2847330 3796440 5694660 11389320