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10297890 = 2325313691
BaseRepresentation
bin100111010010…
…001000100010
3201101012001100
4213102020202
510114013030
61004415230
7153350001
oct47221042
921335040
1010297890
1158a3a59
123547516
132197335
141520c38
15d86360
hex9d2222

10297890 has 48 divisors (see below), whose sum is σ = 27645696. Its totient is φ = 2656800.

The previous prime is 10297873. The next prime is 10297897. The reversal of 10297890 is 9879201.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10297897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 945 + ... + 4635.

It is an arithmetic number, because the mean of its divisors is an integer number (575952).

Almost surely, 210297890 is an apocalyptic number.

10297890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10297890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13822848).

10297890 is an abundant number, since it is smaller than the sum of its proper divisors (17347806).

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

10297890 is a wasteful number, since it uses less digits than its factorization.

10297890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 10297890 is about 3209.0325644967. The cubic root of 10297890 is about 217.5618531971.

The spelling of 10297890 in words is "ten million, two hundred ninety-seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 3691 7382 11073 18455 22146 33219 36910 55365 66438 110730 114421 166095 228842 332190 343263 572105 686526 1029789 1144210 1716315 2059578 3432630 5148945 10297890