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11630560 = 255157463
BaseRepresentation
bin101100010111…
…011111100000
3210212220010111
4230113133200
510434134220
61053141104
7200600224
oct54273740
923786114
1011630560
116624237
123a8a794
132542ab6
14178a784
15104b15a
hexb177e0

11630560 has 48 divisors (see below), whose sum is σ = 27711936. Its totient is φ = 4612608.

The previous prime is 11630503. The next prime is 11630623. The reversal of 11630560 is 6503611.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 24889 + ... + 25351.

It is an arithmetic number, because the mean of its divisors is an integer number (577332).

Almost surely, 211630560 is an apocalyptic number.

11630560 is a gapful number since it is divisible by the number (10) 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 11630560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13855968).

11630560 is an abundant number, since it is smaller than the sum of its proper divisors (16081376).

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

11630560 is a wasteful number, since it uses less digits than its factorization.

11630560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 11630560 is about 3410.3606847370. The cubic root of 11630560 is about 226.5688543759.

The spelling of 11630560 in words is "eleven million, six hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 157 160 314 463 628 785 926 1256 1570 1852 2315 2512 3140 3704 4630 5024 6280 7408 9260 12560 14816 18520 25120 37040 72691 74080 145382 290764 363455 581528 726910 1163056 1453820 2326112 2907640 5815280 11630560