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10552520 = 2351129827
BaseRepresentation
bin101000010000…
…010011001000
3201212010100002
4220100103020
510200140040
61014102132
7155460236
oct50202310
921763302
1010552520
115a582a0
12364a948
1322561c4
141589956
15dd6a15
hexa104c8

10552520 has 64 divisors (see below), whose sum is σ = 26827200. Its totient is φ = 3700480.

The previous prime is 10552519. The next prime is 10552523. The reversal of 10552520 is 2525501.

It is a super-2 number, since 2×105525202 = 222711356700800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10552492 and 10552501.

It is not an unprimeable number, because it can be changed into a prime (10552523) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12347 + ... + 13173.

It is an arithmetic number, because the mean of its divisors is an integer number (419175).

Almost surely, 210552520 is an apocalyptic number.

10552520 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 10552520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13413600).

10552520 is an abundant number, since it is smaller than the sum of its proper divisors (16274680).

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

10552520 is a wasteful number, since it uses less digits than its factorization.

10552520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 10552520 is about 3248.4642525353. The cubic root of 10552520 is about 219.3404489109.

It can be divided in two parts, 105 and 52520, that added together give a palindrome (52625).

The spelling of 10552520 in words is "ten million, five hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 827 1160 1276 1595 1654 2552 3190 3308 4135 6380 6616 8270 9097 12760 16540 18194 23983 33080 36388 45485 47966 72776 90970 95932 119915 181940 191864 239830 263813 363880 479660 527626 959320 1055252 1319065 2110504 2638130 5276260 10552520