Search a number
-
+
11820408 = 233677351
BaseRepresentation
bin101101000101…
…110101111000
3211020112112220
4231011311320
511011223113
61101204040
7202320555
oct55056570
924215486
1011820408
116743936
123b60620
1325ab332
1417d9a2c
151087523
hexb45d78

11820408 has 32 divisors (see below), whose sum is σ = 29996160. Its totient is φ = 3880800.

The previous prime is 11820407. The next prime is 11820433. The reversal of 11820408 is 80402811.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11820407) by changing a digit.

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, 2068 + ... + 5283.

It is an arithmetic number, because the mean of its divisors is an integer number (937380).

Almost surely, 211820408 is an apocalyptic number.

It is an amenable number.

11820408 is an abundant number, since it is smaller than the sum of its proper divisors (18175752).

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

11820408 is a wasteful number, since it uses less digits than its factorization.

11820408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7427 (or 7423 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 11820408 is about 3438.0820234544. The cubic root of 11820408 is about 227.7949834492.

The spelling of 11820408 in words is "eleven million, eight hundred twenty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 402 536 804 1608 7351 14702 22053 29404 44106 58808 88212 176424 492517 985034 1477551 1970068 2955102 3940136 5910204 11820408