Search a number
-
+
10488460 = 225231512
BaseRepresentation
bin101000000000…
…101010001100
3201201212110111
4220000222030
510141112320
61012445404
7155102413
oct50005214
921655414
1010488460
115a14154
123619864
132232cb8
14157047a
15dc2a5a
hexa00a8c

10488460 has 36 divisors (see below), whose sum is σ = 23136624. Its totient is φ = 3986400.

The previous prime is 10488449. The next prime is 10488469. The reversal of 10488460 is 6488401.

It is a super-2 number, since 2×104884602 = 220015586343200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10488469) 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 11 ways as a sum of consecutive naturals, for example, 69385 + ... + 69535.

It is an arithmetic number, because the mean of its divisors is an integer number (642684).

Almost surely, 210488460 is an apocalyptic number.

10488460 is a gapful number since it is divisible by the number (10) 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 10488460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11568312).

10488460 is an abundant number, since it is smaller than the sum of its proper divisors (12648164).

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

10488460 is a wasteful number, since it uses less digits than its factorization.

10488460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 10488460 is about 3238.5891990186. The cubic root of 10488460 is about 218.8957059192.

The spelling of 10488460 in words is "ten million, four hundred eighty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 151 230 302 460 604 755 1510 3020 3473 6946 13892 17365 22801 34730 45602 69460 91204 114005 228010 456020 524423 1048846 2097692 2622115 5244230 10488460