Search a number
-
+
11929904 = 247293673
BaseRepresentation
bin101101100000…
…100100110000
3211110002202022
4231200210300
511023224104
61103411012
7203255030
oct55404460
924402668
1011929904
116809128
123bb3a68
13261911c
1418278c0
1510a9bbe
hexb60930

11929904 has 40 divisors (see below), whose sum is σ = 27334560. Its totient is φ = 4935168.

The previous prime is 11929889. The next prime is 11929913. The reversal of 11929904 is 40992911.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1412 + ... + 5084.

It is an arithmetic number, because the mean of its divisors is an integer number (683364).

Almost surely, 211929904 is an apocalyptic number.

11929904 is a gapful number since it is divisible by the number (14) 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 11929904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13667280).

11929904 is an abundant number, since it is smaller than the sum of its proper divisors (15404656).

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

11929904 is a wasteful number, since it uses less digits than its factorization.

11929904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 35.

The square root of 11929904 is about 3453.9693108075. The cubic root of 11929904 is about 228.4962005411.

The spelling of 11929904 in words is "eleven million, nine hundred twenty-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3248 3673 7346 14692 25711 29384 51422 58768 102844 106517 205688 213034 411376 426068 745619 852136 1491238 1704272 2982476 5964952 11929904