Search a number
-
+
10976480 = 255312213
BaseRepresentation
bin101001110111…
…110011100000
3202122122220022
4221313303200
510302221410
61031133012
7162204254
oct51676340
922578808
1010976480
116217879
123814168
132374178
14165a264
15e6c455
hexa77ce0

10976480 has 48 divisors (see below), whose sum is σ = 26780544. Its totient is φ = 4247040.

The previous prime is 10976477. The next prime is 10976491. The reversal of 10976480 is 8467901.

It is a super-2 number, since 2×109764802 = 240966226380800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10976480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3854 + ... + 6066.

It is an arithmetic number, because the mean of its divisors is an integer number (557928).

Almost surely, 210976480 is an apocalyptic number.

10976480 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 10976480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13390272).

10976480 is an abundant number, since it is smaller than the sum of its proper divisors (15804064).

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

10976480 is a wasteful number, since it uses less digits than its factorization.

10976480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 10976480 is about 3313.0771195371. The cubic root of 10976480 is about 222.2393868223.

The spelling of 10976480 in words is "ten million, nine hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2213 2480 4426 4960 8852 11065 17704 22130 35408 44260 68603 70816 88520 137206 177040 274412 343015 354080 548824 686030 1097648 1372060 2195296 2744120 5488240 10976480