Search a number
-
+
11830832 = 2413232473
BaseRepresentation
bin101101001000…
…011000110000
3211021001211222
4231020120300
511012041312
61101324212
7202363136
oct55103060
924231758
1011830832
116750752
123b66668
1325b2cc0
1417dd756
15108a672
hexb48630

11830832 has 40 divisors (see below), whose sum is σ = 25769184. Its totient is φ = 5220864.

The previous prime is 11830831. The next prime is 11830843. The reversal of 11830832 is 23803811.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11830831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3548 + ... + 6020.

Almost surely, 211830832 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 11830832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12884592).

11830832 is an abundant number, since it is smaller than the sum of its proper divisors (13938352).

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

11830832 is a wasteful number, since it uses less digits than its factorization.

11830832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 11830832 is about 3439.5976508888. The cubic root of 11830832 is about 227.8619252232.

The spelling of 11830832 in words is "eleven million, eight hundred thirty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1196 2392 2473 4784 4946 9892 19784 32149 39568 56879 64298 113758 128596 227516 257192 455032 514384 739427 910064 1478854 2957708 5915416 11830832