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11255832 = 2332723971
BaseRepresentation
bin101010111100…
…000000011000
3210011212002200
4222330000120
510340141312
61041130200
7164446560
oct52740030
923155080
1011255832
116398745
123929960
132441373
1416cdda0
15ec50dc
hexabc018

11255832 has 96 divisors (see below), whose sum is σ = 36391680. Its totient is φ = 3072960.

The previous prime is 11255831. The next prime is 11255837. The reversal of 11255832 is 23855211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11255796 and 11255805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11255831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11107 + ... + 12077.

It is an arithmetic number, because the mean of its divisors is an integer number (379080).

Almost surely, 211255832 is an apocalyptic number.

11255832 is a gapful number since it is divisible by the number (12) 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 11255832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18195840).

11255832 is an abundant number, since it is smaller than the sum of its proper divisors (25135848).

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

11255832 is a wasteful number, since it uses less digits than its factorization.

11255832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1006 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 11255832 is about 3354.9712368365. The cubic root of 11255832 is about 224.1089499761.

The spelling of 11255832 in words is "eleven million, two hundred fifty-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 971 1288 1449 1656 1932 1942 2898 2913 3864 3884 5796 5826 6797 7768 8739 11592 11652 13594 17478 20391 22333 23304 27188 34956 40782 44666 54376 61173 66999 69912 81564 89332 122346 133998 156331 163128 178664 200997 244692 267996 312662 401994 468993 489384 535992 625324 803988 937986 1250648 1406979 1607976 1875972 2813958 3751944 5627916 11255832