Search a number
-
+
10245968 = 2417139271
BaseRepresentation
bin100111000101…
…011101010000
3201021112211022
4213011131100
510110332333
61003335012
7153042425
oct47053520
921245738
1010245968
115868a47
123521468
132179805
141509d4c
15d75c98
hex9c5750

10245968 has 40 divisors (see below), whose sum is σ = 21248640. Its totient is φ = 4769280.

The previous prime is 10245943. The next prime is 10245973. The reversal of 10245968 is 86954201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37673 + ... + 37943.

It is an arithmetic number, because the mean of its divisors is an integer number (531216).

Almost surely, 210245968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10245968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10624320).

10245968 is an abundant number, since it is smaller than the sum of its proper divisors (11002672).

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

10245968 is a wasteful number, since it uses less digits than its factorization.

10245968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 10245968 is about 3200.9323641714. The cubic root of 10245968 is about 217.1955877084.

The spelling of 10245968 in words is "ten million, two hundred forty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 139 271 272 278 542 556 1084 1112 2168 2224 2363 4336 4607 4726 9214 9452 18428 18904 36856 37669 37808 73712 75338 150676 301352 602704 640373 1280746 2561492 5122984 10245968