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11119920 = 243576619
BaseRepresentation
bin101010011010…
…110100110000
3202220221122220
4222122310300
510321314140
61034201040
7163342410
oct52326460
922827586
1011119920
116305619
123883180
1323c4546
141696640
15e99bd0
hexa9ad30

11119920 has 80 divisors (see below), whose sum is σ = 39402240. Its totient is φ = 2541312.

The previous prime is 11119909. The next prime is 11119931. The reversal of 11119920 is 2991111.

It is an interprime number because it is at equal distance from previous prime (11119909) and next prime (11119931).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1630 + ... + 4989.

It is an arithmetic number, because the mean of its divisors is an integer number (492528).

Almost surely, 211119920 is an apocalyptic number.

11119920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11119920 is an abundant number, since it is smaller than the sum of its proper divisors (28282320).

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

11119920 is a wasteful number, since it uses less digits than its factorization.

11119920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6642 (or 6636 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 24.

The square root of 11119920 is about 3334.6544048822. The cubic root of 11119920 is about 223.2032707220.

The spelling of 11119920 in words is "eleven million, one hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 6619 13238 19857 26476 33095 39714 46333 52952 66190 79428 92666 99285 105904 132380 138999 158856 185332 198570 231665 264760 277998 317712 370664 397140 463330 529520 555996 694995 741328 794280 926660 1111992 1389990 1588560 1853320 2223984 2779980 3706640 5559960 11119920