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10430924 = 2272192801
BaseRepresentation
bin100111110010…
…100111001100
3201121221112112
4213302213030
510132242144
61011323152
7154442600
oct47624714
921557475
1010430924
1159849a9
1235b04b8
132212a5a
141557500
15db099e
hex9f29cc

10430924 has 36 divisors (see below), whose sum is σ = 22359960. Its totient is φ = 4233600.

The previous prime is 10430921. The next prime is 10430957. The reversal of 10430924 is 42903401.

It is a self number, because there is not a number n which added to its sum of digits gives 10430924.

It is not an unprimeable number, because it can be changed into a prime (10430921) 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 11 ways as a sum of consecutive naturals, for example, 2324 + ... + 5124.

It is an arithmetic number, because the mean of its divisors is an integer number (621110).

Almost surely, 210430924 is an apocalyptic number.

10430924 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 10430924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11179980).

10430924 is an abundant number, since it is smaller than the sum of its proper divisors (11929036).

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

10430924 is a wasteful number, since it uses less digits than its factorization.

10430924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 10430924 is about 3229.6941031621. The cubic root of 10430924 is about 218.4947101827.

The spelling of 10430924 in words is "ten million, four hundred thirty thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 532 931 1862 2801 3724 5602 11204 19607 39214 53219 78428 106438 137249 212876 274498 372533 548996 745066 1490132 2607731 5215462 10430924