Search a number
-
+
10929792 = 27328463
BaseRepresentation
bin101001101100…
…011010000000
3202120021212010
4221230122000
510244223132
61030132520
7161621166
oct51543200
922507763
1010929792
116195795
1237b1140
132358b43
141647236
15e5d6cc
hexa6c680

10929792 has 32 divisors (see below), whose sum is σ = 29033280. Its totient is φ = 3643136.

The previous prime is 10929791. The next prime is 10929817. The reversal of 10929792 is 29792901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10929792.

It is not an unprimeable number, because it can be changed into a prime (10929791) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13848 + ... + 14615.

It is an arithmetic number, because the mean of its divisors is an integer number (907290).

Almost surely, 210929792 is an apocalyptic number.

10929792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10929792 is an abundant number, since it is smaller than the sum of its proper divisors (18103488).

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

10929792 is an equidigital number, since it uses as much as digits as its factorization.

10929792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28480 (or 28468 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 10929792 is about 3306.0235933822. The cubic root of 10929792 is about 221.9238436936.

It can be divided in two parts, 1092979 and 2, that added together give a triangular number (1092981 = T1478).

The spelling of 10929792 in words is "ten million, nine hundred twenty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 28463 56926 85389 113852 170778 227704 341556 455408 683112 910816 1366224 1821632 2732448 3643264 5464896 10929792