Search a number
-
+
11083392 = 27341069
BaseRepresentation
bin101010010001…
…111010000000
3202212002120000
4222101322000
510314132032
61033320000
7163131045
oct52217200
922762500
1011083392
116290131
123866000
1323b0a28
1416871cc
15e8de7c
hexa91e80

11083392 has 80 divisors (see below), whose sum is σ = 33014850. Its totient is φ = 3691008.

The previous prime is 11083361. The next prime is 11083409. The reversal of 11083392 is 29338011.

It can be written as a sum of positive squares in only one way, i.e., 9585216 + 1498176 = 3096^2 + 1224^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9834 + ... + 10902.

Almost surely, 211083392 is an apocalyptic number.

11083392 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 11083392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16507425).

11083392 is an abundant number, since it is smaller than the sum of its proper divisors (21931458).

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

11083392 is an equidigital number, since it uses as much as digits as its factorization.

11083392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 11083392 is about 3329.1728702487. The cubic root of 11083392 is about 222.9586013091.

The spelling of 11083392 in words is "eleven million, eighty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1069 1152 1296 1728 2138 2592 3207 3456 4276 5184 6414 8552 9621 10368 12828 17104 19242 25656 28863 34208 38484 51312 57726 68416 76968 86589 102624 115452 136832 153936 173178 205248 230904 307872 346356 410496 461808 615744 692712 923616 1231488 1385424 1847232 2770848 3694464 5541696 11083392