Search a number
-
+
12553480 = 2351718461
BaseRepresentation
bin101111111000…
…110100001000
3212121210010201
4233320310020
511203202410
61125021544
7211463032
oct57706410
925553121
1012553480
1170a4685
1242548b4
1327a6bc4
14194ac52
15117e83a
hexbf8d08

12553480 has 32 divisors (see below), whose sum is σ = 29908440. Its totient is φ = 4725760.

The previous prime is 12553477. The next prime is 12553483. The reversal of 12553480 is 8435521.

12553480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12553477) and next prime (12553483).

It can be written as a sum of positive squares in 4 ways, for example, as 8561476 + 3992004 = 2926^2 + 1998^2 .

It is a super-2 number, since 2×125534802 = 315179720220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12553483) 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, 8551 + ... + 9910.

Almost surely, 212553480 is an apocalyptic number.

12553480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12553480 is an abundant number, since it is smaller than the sum of its proper divisors (17354960).

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

12553480 is a wasteful number, since it uses less digits than its factorization.

12553480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18489 (or 18485 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 12553480 is about 3543.0890477096. The cubic root of 12553480 is about 232.4099470109.

The spelling of 12553480 in words is "twelve million, five hundred fifty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 18461 36922 73844 92305 147688 184610 313837 369220 627674 738440 1255348 1569185 2510696 3138370 6276740 12553480