Search a number
-
+
10497072 = 243297541
BaseRepresentation
bin101000000010…
…110000110000
3201202022021110
4220002300300
510141401242
61012553320
7155136465
oct50026060
921668243
1010497072
115a1a673
123622840
132236bb1
14157366c
15dc539c
hexa02c30

10497072 has 40 divisors (see below), whose sum is σ = 28056240. Its totient is φ = 3377920.

The previous prime is 10497061. The next prime is 10497073. The reversal of 10497072 is 27079401.

It is a super-2 number, since 2×104970722 = 220377041146368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10497073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2379 + ... + 5162.

It is an arithmetic number, because the mean of its divisors is an integer number (701406).

Almost surely, 210497072 is an apocalyptic number.

10497072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10497072 is an abundant number, since it is smaller than the sum of its proper divisors (17559168).

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

10497072 is a wasteful number, since it uses less digits than its factorization.

10497072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7581 (or 7575 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 10497072 is about 3239.9185174939. The cubic root of 10497072 is about 218.9556007655.

The spelling of 10497072 in words is "ten million, four hundred ninety-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 7541 15082 22623 30164 45246 60328 90492 120656 180984 218689 361968 437378 656067 874756 1312134 1749512 2624268 3499024 5248536 10497072