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10643424 = 2531110079
BaseRepresentation
bin101000100110…
…011111100000
3202000202000220
4220212133200
510211042144
61020043040
7156316251
oct50463740
922022026
1010643424
11600a620
123693480
1322886ac
1415b0b28
15e03919
hexa267e0

10643424 has 48 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 3224960.

The previous prime is 10643417. The next prime is 10643431. The reversal of 10643424 is 42434601.

It is an interprime number because it is at equal distance from previous prime (10643417) and next prime (10643431).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106434242 = 226564948887552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10643394 and 10643403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3984 + ... + 6095.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 210643424 is an apocalyptic number.

It is an amenable number.

10643424 is an abundant number, since it is smaller than the sum of its proper divisors (19838496).

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

10643424 is a wasteful number, since it uses less digits than its factorization.

10643424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10103 (or 10095 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 10643424 is about 3262.4260911169. The cubic root of 10643424 is about 219.9684803328.

The spelling of 10643424 in words is "ten million, six hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 10079 20158 30237 40316 60474 80632 110869 120948 161264 221738 241896 322528 332607 443476 483792 665214 886952 967584 1330428 1773904 2660856 3547808 5321712 10643424