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10269924 = 22371031187
BaseRepresentation
bin100111001011…
…010011100100
3201022202200120
4213023103210
510112114144
61004041540
7153202320
oct47132344
921282616
1010269924
115884a45
1235332b0
1321876a2
141514980
15d7ce19
hex9cb4e4

10269924 has 48 divisors (see below), whose sum is σ = 27675648. Its totient is φ = 2903328.

The previous prime is 10269911. The next prime is 10269947. The reversal of 10269924 is 42996201.

10269924 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8059 + ... + 9245.

It is an arithmetic number, because the mean of its divisors is an integer number (576576).

Almost surely, 210269924 is an apocalyptic number.

10269924 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 10269924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13837824).

10269924 is an abundant number, since it is smaller than the sum of its proper divisors (17405724).

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

10269924 is a wasteful number, since it uses less digits than its factorization.

10269924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 10269924 is about 3204.6722141274. The cubic root of 10269924 is about 217.3647302636.

The spelling of 10269924 in words is "ten million, two hundred sixty-nine thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 206 309 412 618 721 1187 1236 1442 2163 2374 2884 3561 4326 4748 7122 8309 8652 14244 16618 24927 33236 49854 99708 122261 244522 366783 489044 733566 855827 1467132 1711654 2567481 3423308 5134962 10269924