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11104320 = 263543269
BaseRepresentation
bin101010010111…
…000001000000
3202220011021010
4222113001000
510320314240
61034000520
7163246053
oct52270100
922804233
1011104320
1162a4927
123876140
1323ba406
141690a9a
15e95280
hexa97040

11104320 has 112 divisors (see below), whose sum is σ = 36210240. Its totient is φ = 2881536.

The previous prime is 11104307. The next prime is 11104333. The reversal of 11104320 is 2340111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11104307) and next prime (11104333).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11104296 and 11104305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41146 + ... + 41414.

Almost surely, 211104320 is an apocalyptic number.

11104320 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 11104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105120).

11104320 is an abundant number, since it is smaller than the sum of its proper divisors (25105920).

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

11104320 is a wasteful number, since it uses less digits than its factorization.

11104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11104320 is about 3332.3145109668. The cubic root of 11104320 is about 223.0988454933.

Adding to 11104320 its reverse (2340111), we get a palindrome (13444431).

The spelling of 11104320 in words is "eleven million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 129 160 172 192 215 240 258 269 320 344 430 480 516 538 645 688 807 860 960 1032 1076 1290 1345 1376 1614 1720 2064 2152 2580 2690 2752 3228 3440 4035 4128 4304 5160 5380 6456 6880 8070 8256 8608 10320 10760 11567 12912 13760 16140 17216 20640 21520 23134 25824 32280 34701 41280 43040 46268 51648 57835 64560 69402 86080 92536 115670 129120 138804 173505 185072 231340 258240 277608 347010 370144 462680 555216 694020 740288 925360 1110432 1388040 1850720 2220864 2776080 3701440 5552160 11104320