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11450720 = 255591213
BaseRepresentation
bin101011101011…
…100101100000
3210112202102202
4223223211200
510412410340
61045232332
7166221011
oct53534540
923482382
1011450720
116511106
123a026a8
1324abc98
141741008
151012c15
hexaeb960

11450720 has 48 divisors (see below), whose sum is σ = 27533520. Its totient is φ = 4498944.

The previous prime is 11450717. The next prime is 11450743. The reversal of 11450720 is 2705411.

11450720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114507202 = 262237977036800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11450692 and 11450701.

It is a congruent number.

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, 8834 + ... + 10046.

It is an arithmetic number, because the mean of its divisors is an integer number (573615).

Almost surely, 211450720 is an apocalyptic number.

11450720 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 11450720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13766760).

11450720 is an abundant number, since it is smaller than the sum of its proper divisors (16082800).

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

11450720 is a wasteful number, since it uses less digits than its factorization.

11450720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 11450720 is about 3383.8912512077. The cubic root of 11450720 is about 225.3949934157.

The spelling of 11450720 in words is "eleven million, four hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 472 590 944 1180 1213 1888 2360 2426 4720 4852 6065 9440 9704 12130 19408 24260 38816 48520 71567 97040 143134 194080 286268 357835 572536 715670 1145072 1431340 2290144 2862680 5725360 11450720