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11330592 = 2537131297
BaseRepresentation
bin101011001110…
…010000100000
3210022122122120
4223032100200
510400034332
61042504240
7165210540
oct53162040
923278576
1011330592
116439929
123965080
1324693c0
14170d320
15edc32c
hexace420

11330592 has 96 divisors (see below), whose sum is σ = 36634752. Its totient is φ = 2985984.

The previous prime is 11330573. The next prime is 11330597. The reversal of 11330592 is 29503311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11330597) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8088 + ... + 9384.

It is an arithmetic number, because the mean of its divisors is an integer number (381612).

Almost surely, 211330592 is an apocalyptic number.

11330592 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 11330592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18317376).

11330592 is an abundant number, since it is smaller than the sum of its proper divisors (25304160).

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

11330592 is a wasteful number, since it uses less digits than its factorization.

11330592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 11330592 is about 3366.0944728275. The cubic root of 11330592 is about 224.6040245228.

The spelling of 11330592 in words is "eleven million, three hundred thirty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1297 1456 2184 2594 2912 3891 4368 5188 7782 8736 9079 10376 15564 16861 18158 20752 27237 31128 33722 36316 41504 50583 54474 62256 67444 72632 101166 108948 118027 124512 134888 145264 202332 217896 236054 269776 290528 354081 404664 435792 472108 539552 708162 809328 871584 944216 1416324 1618656 1888432 2832648 3776864 5665296 11330592