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10292172 = 22311103757
BaseRepresentation
bin100111010000…
…101111001100
3201100220012120
4213100233030
510113322142
61004332540
7153324222
oct47205714
921326176
1010292172
11589a730
123544150
132194857
14151cb12
15d847ec
hex9d0bcc

10292172 has 48 divisors (see below), whose sum is σ = 26487552. Its totient is φ = 3084480.

The previous prime is 10292159. The next prime is 10292173. The reversal of 10292172 is 27129201.

10292172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10292173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13218 + ... + 13974.

It is an arithmetic number, because the mean of its divisors is an integer number (551824).

Almost surely, 210292172 is an apocalyptic number.

10292172 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 10292172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13243776).

10292172 is an abundant number, since it is smaller than the sum of its proper divisors (16195380).

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

10292172 is a wasteful number, since it uses less digits than its factorization.

10292172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 10292172 is about 3208.1415180755. The cubic root of 10292172 is about 217.5215779887.

The spelling of 10292172 in words is "ten million, two hundred ninety-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 309 412 618 757 1133 1236 1514 2266 2271 3028 3399 4532 4542 6798 8327 9084 13596 16654 24981 33308 49962 77971 99924 155942 233913 311884 467826 857681 935652 1715362 2573043 3430724 5146086 10292172