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10204812 = 2233611549
BaseRepresentation
bin100110111011…
…011010001100
3201012110101000
4212323122030
510103023222
61002420300
7152511432
oct46733214
921173330
1010204812
115840032
123501690
132163b67
1414d8d52
15d689ac
hex9bb68c

10204812 has 48 divisors (see below), whose sum is σ = 26908000. Its totient is φ = 3343680.

The previous prime is 10204807. The next prime is 10204819. The reversal of 10204812 is 21840201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10204819) by changing a digit.

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, 5814 + ... + 7362.

Almost surely, 210204812 is an apocalyptic number.

10204812 is a gapful number since it is divisible by the number (12) 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 10204812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13454000).

10204812 is an abundant number, since it is smaller than the sum of its proper divisors (16703188).

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

10204812 is a wasteful number, since it uses less digits than its factorization.

10204812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10204812 is about 3194.4971435267. The cubic root of 10204812 is about 216.9043870794.

It can be divided in two parts, 1020 and 4812, that added together give a cube (5832 = 183).

The spelling of 10204812 in words is "ten million, two hundred four thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 1098 1549 1647 2196 3098 3294 4647 6196 6588 9294 13941 18588 27882 41823 55764 83646 94489 167292 188978 283467 377956 566934 850401 1133868 1700802 2551203 3401604 5102406 10204812