Search a number
-
+
11260992 = 26389659
BaseRepresentation
bin101010111101…
…010001000000
3210012010011210
4222331101000
510340322432
61041210120
7164500611
oct52752100
923163153
1011260992
1163a1606
123930940
132443812
1416d1c08
15ec68cc
hexabd440

11260992 has 56 divisors (see below), whose sum is σ = 30175200. Its totient is φ = 3705856.

The previous prime is 11260981. The next prime is 11261009. The reversal of 11260992 is 29906211.

It is a happy 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, 16759 + ... + 17417.

Almost surely, 211260992 is an apocalyptic number.

11260992 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 11260992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15087600).

11260992 is an abundant number, since it is smaller than the sum of its proper divisors (18914208).

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

11260992 is an equidigital number, since it uses as much as digits as its factorization.

11260992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 11260992 is about 3355.7401568059. The cubic root of 11260992 is about 224.1431907595.

It can be divided in two parts, 11 and 260992, that added together give a triangular number (261003 = T722).

The spelling of 11260992 in words is "eleven million, two hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 178 192 267 356 534 659 712 1068 1318 1424 1977 2136 2636 2848 3954 4272 5272 5696 7908 8544 10544 15816 17088 21088 31632 42176 58651 63264 117302 126528 175953 234604 351906 469208 703812 938416 1407624 1876832 2815248 3753664 5630496 11260992