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11295520 = 255227311
BaseRepresentation
bin101011000101…
…101100100000
3210020212112121
4223011230200
510342424040
61042034024
7165003355
oct53055440
923225477
1011295520
116415545
123948914
132456452
14170062c
15ed1c4a
hexac5b20

11295520 has 48 divisors (see below), whose sum is σ = 26889408. Its totient is φ = 4483840.

The previous prime is 11295517. The next prime is 11295533. The reversal of 11295520 is 2559211.

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, 36165 + ... + 36475.

It is an arithmetic number, because the mean of its divisors is an integer number (560196).

Almost surely, 211295520 is an apocalyptic number.

11295520 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 11295520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13444704).

11295520 is an abundant number, since it is smaller than the sum of its proper divisors (15593888).

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

11295520 is a wasteful number, since it uses less digits than its factorization.

11295520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 11295520 is about 3360.8808369236. The cubic root of 11295520 is about 224.3720432930.

The spelling of 11295520 in words is "eleven million, two hundred ninety-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 227 311 454 622 908 1135 1244 1555 1816 2270 2488 3110 3632 4540 4976 6220 7264 9080 9952 12440 18160 24880 36320 49760 70597 141194 282388 352985 564776 705970 1129552 1411940 2259104 2823880 5647760 11295520