Search a number
-
+
10298944 = 262931179
BaseRepresentation
bin100111010010…
…011001000000
3201101020111101
4213102121000
510114031234
61004424144
7153353035
oct47223100
921336441
1010298944
1158a4827
123548054
132197966
14152138c
15d86814
hex9d2640

10298944 has 56 divisors (see below), whose sum is σ = 21945600. Its totient is φ = 4784640.

The previous prime is 10298941. The next prime is 10298983. The reversal of 10298944 is 44989201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10298941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57447 + ... + 57625.

Almost surely, 210298944 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 10298944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10972800).

10298944 is an abundant number, since it is smaller than the sum of its proper divisors (11646656).

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

10298944 is a wasteful number, since it uses less digits than its factorization.

10298944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 10298944 is about 3209.1967842437. The cubic root of 10298944 is about 217.5692755063.

The spelling of 10298944 in words is "ten million, two hundred ninety-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 179 232 248 358 464 496 716 899 928 992 1432 1798 1856 1984 2864 3596 5191 5549 5728 7192 10382 11098 11456 14384 20764 22196 28768 41528 44392 57536 83056 88784 160921 166112 177568 321842 332224 355136 643684 1287368 2574736 5149472 10298944