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10607424 = 263101547
BaseRepresentation
bin101000011101…
…101101000000
3201221220122120
4220131231000
510203414144
61015204240
7156106302
oct50355500
921856576
1010607424
115a95573
123676680
1322751a9
1415a1972
15de7e19
hexa1db40

10607424 has 56 divisors (see below), whose sum is σ = 28395168. Its totient is φ = 3494400.

The previous prime is 10607413. The next prime is 10607431. The reversal of 10607424 is 42470601.

It is a super-2 number, since 2×106074242 = 225034887831552, which contains 22 as substring.

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 = 10607394 and 10607403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19119 + ... + 19665.

Almost surely, 210607424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10607424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14197584).

10607424 is an abundant number, since it is smaller than the sum of its proper divisors (17787744).

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

10607424 is a wasteful number, since it uses less digits than its factorization.

10607424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 10607424 is about 3256.9040513960. The cubic root of 10607424 is about 219.7201952482.

The spelling of 10607424 in words is "ten million, six hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 404 547 606 808 1094 1212 1616 1641 2188 2424 3232 3282 4376 4848 6464 6564 8752 9696 13128 17504 19392 26256 35008 52512 55247 105024 110494 165741 220988 331482 441976 662964 883952 1325928 1767904 2651856 3535808 5303712 10607424