Search a number
-
+
11276032 = 28172591
BaseRepresentation
bin101011000000…
…111100000000
3210012212210211
4223000330000
510341313112
61041403504
7164562505
oct53007400
923185724
1011276032
116401939
123939594
13244a611
1416d74ac
15ecb0a7
hexac0f00

11276032 has 36 divisors (see below), whose sum is σ = 23841216. Its totient is φ = 5304320.

The previous prime is 11276029. The next prime is 11276053. The reversal of 11276032 is 23067211.

It is a junction number, because it is equal to n+sod(n) for n = 11275994 and 11276012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3057 + ... + 5647.

It is an arithmetic number, because the mean of its divisors is an integer number (662256).

Almost surely, 211276032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11276032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11920608).

11276032 is an abundant number, since it is smaller than the sum of its proper divisors (12565184).

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

11276032 is an equidigital number, since it uses as much as digits as its factorization.

11276032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 11276032 is about 3357.9803453862. The cubic root of 11276032 is about 224.2429337159.

The spelling of 11276032 in words is "eleven million, two hundred seventy-six thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 2591 4352 5182 10364 20728 41456 44047 82912 88094 165824 176188 331648 352376 663296 704752 1409504 2819008 5638016 11276032