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10241924 = 2271123023
BaseRepresentation
bin100111000100…
…011110000100
3201021100021112
4213010132010
510110220144
61003304152
7153024560
oct47043604
921240245
1010241924
115865a00
12351b058
132177a14
1415086a0
15d7499e
hex9c4784

10241924 has 36 divisors (see below), whose sum is σ = 22522752. Its totient is φ = 3989040.

The previous prime is 10241921. The next prime is 10241927. The reversal of 10241924 is 42914201.

It is an interprime number because it is at equal distance from previous prime (10241921) and next prime (10241927).

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10241924.

It is not an unprimeable number, because it can be changed into a prime (10241921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1877 + ... + 4899.

It is an arithmetic number, because the mean of its divisors is an integer number (625632).

Almost surely, 210241924 is an apocalyptic number.

10241924 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 10241924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11261376).

10241924 is an abundant number, since it is smaller than the sum of its proper divisors (12280828).

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

10241924 is a wasteful number, since it uses less digits than its factorization.

10241924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 10241924 is about 3200.3006108802. The cubic root of 10241924 is about 217.1670088392.

The spelling of 10241924 in words is "ten million, two hundred forty-one thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 484 847 1694 3023 3388 6046 12092 21161 33253 42322 66506 84644 133012 232771 365783 465542 731566 931084 1463132 2560481 5120962 10241924