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10204520 = 2351929463
BaseRepresentation
bin100110111011…
…010101101000
3201012102222012
4212323111220
510103021040
61002415052
7152510534
oct46732550
921172865
1010204520
11583a897
123501488
1321639a1
1414d8bc4
15d68865
hex9bb568

10204520 has 64 divisors (see below), whose sum is σ = 25056000. Its totient is φ = 3725568.

The previous prime is 10204517. The next prime is 10204541. The reversal of 10204520 is 2540201.

It is a junction number, because it is equal to n+sod(n) for n = 10204495 and 10204504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21809 + ... + 22271.

It is an arithmetic number, because the mean of its divisors is an integer number (391500).

Almost surely, 210204520 is an apocalyptic number.

10204520 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 10204520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12528000).

10204520 is an abundant number, since it is smaller than the sum of its proper divisors (14851480).

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

10204520 is a wasteful number, since it uses less digits than its factorization.

10204520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 10204520 is about 3194.4514396059. The cubic root of 10204520 is about 216.9023182291.

Adding to 10204520 its reverse (2540201), we get a palindrome (12744721).

The spelling of 10204520 in words is "ten million, two hundred four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 152 190 232 290 380 463 551 580 760 926 1102 1160 1852 2204 2315 2755 3704 4408 4630 5510 8797 9260 11020 13427 17594 18520 22040 26854 35188 43985 53708 67135 70376 87970 107416 134270 175940 255113 268540 351880 510226 537080 1020452 1275565 2040904 2551130 5102260 10204520