Search a number
-
+
11616472 = 2372329311
BaseRepresentation
bin101100010100…
…000011011000
3210212011210201
4230110003120
510433211342
61052551544
7200511160
oct54240330
923764721
1011616472
11661469a
123a825b4
13253956a
1417855a0
151046db7
hexb140d8

11616472 has 64 divisors (see below), whose sum is σ = 26956800. Its totient is φ = 4583040.

The previous prime is 11616469. The next prime is 11616481. The reversal of 11616472 is 27461611.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 11616472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37197 + ... + 37507.

It is an arithmetic number, because the mean of its divisors is an integer number (421200).

Almost surely, 211616472 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 11616472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13478400).

11616472 is an abundant number, since it is smaller than the sum of its proper divisors (15340328).

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

11616472 is a wasteful number, since it uses less digits than its factorization.

11616472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 372 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 11616472 is about 3408.2945882068. The cubic root of 11616472 is about 226.4773370955.

The spelling of 11616472 in words is "eleven million, six hundred sixteen thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 23 28 29 46 56 58 92 116 161 184 203 232 311 322 406 622 644 667 812 1244 1288 1334 1624 2177 2488 2668 4354 4669 5336 7153 8708 9019 9338 14306 17416 18038 18676 28612 36076 37352 50071 57224 63133 72152 100142 126266 200284 207437 252532 400568 414874 505064 829748 1452059 1659496 2904118 5808236 11616472