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11275936 = 25771709
BaseRepresentation
bin101011000000…
…111010100000
3210012212200021
4223000322200
510341312221
61041403224
7164562310
oct53007240
923185607
1011275936
116401861
123939514
13244a569
1416d7440
15ecb041
hexac0ea0

11275936 has 48 divisors (see below), whose sum is σ = 25764480. Its totient is φ = 4757760.

The previous prime is 11275889. The next prime is 11275951. The reversal of 11275936 is 63957211.

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, 15550 + ... + 16258.

It is an arithmetic number, because the mean of its divisors is an integer number (536760).

Almost surely, 211275936 is an apocalyptic number.

11275936 is a gapful number since it is divisible by the number (16) 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 11275936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12882240).

11275936 is an abundant number, since it is smaller than the sum of its proper divisors (14488544).

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

11275936 is an equidigital number, since it uses as much as digits as its factorization.

11275936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 789 counting only the distinct ones).

The product of its digits is 11340, while the sum is 34.

The square root of 11275936 is about 3357.9660510494. The cubic root of 11275936 is about 224.2422973400.

The spelling of 11275936 in words is "eleven million, two hundred seventy-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 497 568 709 994 1136 1418 1988 2272 2836 3976 4963 5672 7952 9926 11344 15904 19852 22688 39704 50339 79408 100678 158816 201356 352373 402712 704746 805424 1409492 1610848 2818984 5637968 11275936