Search a number
-
+
10864480 = 255116173
BaseRepresentation
bin101001011100…
…011101100000
3202102222021011
4221130131200
510240130410
61024510304
7161226604
oct51343540
922388234
1010864480
116150710
12377b394
1323351b3
14162b504
15e4918a
hexa5c760

10864480 has 48 divisors (see below), whose sum is σ = 28005264. Its totient is φ = 3950080.

The previous prime is 10864471. The next prime is 10864489. The reversal of 10864480 is 8446801.

It is an interprime number because it is at equal distance from previous prime (10864471) and next prime (10864489).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10864489) by changing a digit.

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, 1327 + ... + 4846.

It is an arithmetic number, because the mean of its divisors is an integer number (583443).

Almost surely, 210864480 is an apocalyptic number.

10864480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10864480 is an abundant number, since it is smaller than the sum of its proper divisors (17140784).

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

10864480 is a wasteful number, since it uses less digits than its factorization.

10864480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6199 (or 6191 counting only the distinct ones).

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

The square root of 10864480 is about 3296.1310653553. The cubic root of 10864480 is about 221.4809180042.

The spelling of 10864480 in words is "ten million, eight hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 6173 12346 24692 30865 49384 61730 67903 98768 123460 135806 197536 246920 271612 339515 493840 543224 679030 987680 1086448 1358060 2172896 2716120 5432240 10864480