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6430560 = 253513397
BaseRepresentation
bin11000100001111101100000
3110002201001220
4120201331200
53121234220
6345455040
7105441663
oct30417540
913081056
106430560
1136a2414
1221a1480
131441c86
14bd56da
15870540
hex621f60

6430560 has 48 divisors (see below), whose sum is σ = 20257776. Its totient is φ = 1714688.

The previous prime is 6430519. The next prime is 6430561. The reversal of 6430560 is 650346.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6430560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6430561) 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, 6219 + ... + 7178.

It is an arithmetic number, because the mean of its divisors is an integer number (422037).

Almost surely, 26430560 is an apocalyptic number.

6430560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6430560 is an abundant number, since it is smaller than the sum of its proper divisors (13827216).

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

6430560 is a wasteful number, since it uses less digits than its factorization.

6430560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13415 (or 13407 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 6430560 is about 2535.8548854380. The cubic root of 6430560 is about 185.9585987168.

The spelling of 6430560 in words is "six million, four hundred thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 13397 26794 40191 53588 66985 80382 107176 133970 160764 200955 214352 267940 321528 401910 428704 535880 643056 803820 1071760 1286112 1607640 2143520 3215280 6430560