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10290372 = 2231773691
BaseRepresentation
bin100111010000…
…010011000100
3201100210201220
4213100103010
510113242442
61004320340
7153316041
oct47202304
921323656
1010290372
115899344
1235430b0
132193aa1
14151c1c8
15d83eec
hex9d04c4

10290372 has 48 divisors (see below), whose sum is σ = 25808832. Its totient is φ = 3179520.

The previous prime is 10290359. The next prime is 10290383. The reversal of 10290372 is 27309201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14547 + ... + 15237.

It is an arithmetic number, because the mean of its divisors is an integer number (537684).

Almost surely, 210290372 is an apocalyptic number.

10290372 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 10290372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12904416).

10290372 is an abundant number, since it is smaller than the sum of its proper divisors (15518460).

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

10290372 is a wasteful number, since it uses less digits than its factorization.

10290372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 10290372 is about 3207.8609695559. The cubic root of 10290372 is about 217.5088964521.

Adding to 10290372 its reverse (27309201), we get a palindrome (37599573).

The spelling of 10290372 in words is "ten million, two hundred ninety thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 73 102 146 204 219 292 438 691 876 1241 1382 2073 2482 2764 3723 4146 4964 7446 8292 11747 14892 23494 35241 46988 50443 70482 100886 140964 151329 201772 302658 605316 857531 1715062 2572593 3430124 5145186 10290372