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11256312 = 2331747587
BaseRepresentation
bin101010111100…
…000111111000
3210011212202110
4222330013320
510340200222
61041132320
7164451144
oct52740770
923155673
1011256312
116399041
12392a0a0
132441652
1416d0224
15ec530c
hexabc1f8

11256312 has 64 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 3450368.

The previous prime is 11256307. The next prime is 11256319. The reversal of 11256312 is 21365211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11256319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18883 + ... + 19469.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 211256312 is an apocalyptic number.

11256312 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 11256312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

11256312 is an abundant number, since it is smaller than the sum of its proper divisors (19225608).

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

11256312 is a wasteful number, since it uses less digits than its factorization.

11256312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 656 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 11256312 is about 3355.0427717095. The cubic root of 11256312 is about 224.1121356066.

It can be divided in two parts, 112563 and 12, that added together give a triangular number (112575 = T474).

The spelling of 11256312 in words is "eleven million, two hundred fifty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 68 94 102 136 141 188 204 282 376 408 564 587 799 1128 1174 1598 1761 2348 2397 3196 3522 4696 4794 6392 7044 9588 9979 14088 19176 19958 27589 29937 39916 55178 59874 79832 82767 110356 119748 165534 220712 239496 331068 469013 662136 938026 1407039 1876052 2814078 3752104 5628156 11256312