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10522368 = 28324567
BaseRepresentation
bin101000001000…
…111100000000
3201210120222100
4220020330000
510143203433
61013310400
7155303313
oct50107400
921716870
1010522368
115a3767a
123635400
13224556c
14157c97a
15dccb13
hexa08f00

10522368 has 54 divisors (see below), whose sum is σ = 30345224. Its totient is φ = 3506688.

The previous prime is 10522349. The next prime is 10522373. The reversal of 10522368 is 86322501.

It is a super-2 number, since 2×105223682 = 221440456654848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21 + ... + 4587.

Almost surely, 210522368 is an apocalyptic number.

10522368 is a gapful number since it is divisible by the number (18) 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 10522368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15172612).

10522368 is an abundant number, since it is smaller than the sum of its proper divisors (19822856).

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

10522368 is an equidigital number, since it uses as much as digits as its factorization.

10522368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4589 (or 4572 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10522368 is about 3243.8199703436. The cubic root of 10522368 is about 219.1313404938.

Adding to 10522368 its reverse (86322501), we get a palindrome (96844869).

The spelling of 10522368 in words is "ten million, five hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4567 9134 13701 18268 27402 36536 41103 54804 73072 82206 109608 146144 164412 219216 292288 328824 438432 584576 657648 876864 1169152 1315296 1753728 2630592 3507456 5261184 10522368