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10522640 = 245314243
BaseRepresentation
bin101000001001…
…000000010000
3201210121100102
4220021000100
510143211030
61013311532
7155304152
oct50110020
921717312
1010522640
115a378a7
1236355a8
13224571b
14157cad2
15dccc45
hexa09010

10522640 has 40 divisors (see below), whose sum is σ = 25260288. Its totient is φ = 4072320.

The previous prime is 10522627. The next prime is 10522667. The reversal of 10522640 is 4622501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105226402 = 221451905139200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 359 + ... + 4601.

Almost surely, 210522640 is an apocalyptic number.

10522640 is a gapful number since it is divisible by the number (10) 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 10522640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12630144).

10522640 is an abundant number, since it is smaller than the sum of its proper divisors (14737648).

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

10522640 is a wasteful number, since it uses less digits than its factorization.

10522640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 10522640 is about 3243.8618959506. The cubic root of 10522640 is about 219.1332286370.

The spelling of 10522640 in words is "ten million, five hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 4243 8486 16972 21215 33944 42430 67888 84860 131533 169720 263066 339440 526132 657665 1052264 1315330 2104528 2630660 5261320 10522640