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11304720 = 2432572243
BaseRepresentation
bin101011000111…
…111100010000
3210021100011100
4223013330100
510343222340
61042144400
7165042240
oct53077420
923240140
1011304720
116421449
123952100
13245a6ab
141703b20
15ed4830
hexac7f10

11304720 has 120 divisors (see below), whose sum is σ = 43407936. Its totient is φ = 2582784.

The previous prime is 11304719. The next prime is 11304737. The reversal of 11304720 is 2740311.

11304720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11304693 and 11304702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3919 + ... + 6161.

Almost surely, 211304720 is an apocalyptic number.

11304720 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 11304720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21703968).

11304720 is an abundant number, since it is smaller than the sum of its proper divisors (32103216).

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

11304720 is a wasteful number, since it uses less digits than its factorization.

11304720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 11304720 is about 3362.2492471558. The cubic root of 11304720 is about 224.4329424408.

The spelling of 11304720 in words is "eleven million, three hundred four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2243 2520 4486 5040 6729 8972 11215 13458 15701 17944 20187 22430 26916 31402 33645 35888 40374 44860 47103 53832 62804 67290 78505 80748 89720 94206 100935 107664 125608 134580 141309 157010 161496 179440 188412 201870 235515 251216 269160 282618 314020 322992 376824 403740 471030 538320 565236 628040 706545 753648 807480 942060 1130472 1256080 1413090 1614960 1884120 2260944 2826180 3768240 5652360 11304720