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10075280 = 245125941
BaseRepresentation
bin100110011011…
…110010010000
3200221212200112
4212123302100
510034402110
6555540452
7151431665
oct46336220
920855615
1010075280
115761786
12345a728
132119c07
1414a3a6c
15d40405
hex99bc90

10075280 has 20 divisors (see below), whose sum is σ = 23425212. Its totient is φ = 4030080.

The previous prime is 10075229. The next prime is 10075297. The reversal of 10075280 is 8257001.

It can be written as a sum of positive squares in 2 ways, for example, as 7463824 + 2611456 = 2732^2 + 1616^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×100752802 = 203022534156800, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 62891 + ... + 63050.

Almost surely, 210075280 is an apocalyptic number.

10075280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10075280 is an abundant number, since it is smaller than the sum of its proper divisors (13349932).

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

10075280 is a wasteful number, since it uses less digits than its factorization.

10075280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125954 (or 125948 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 10075280 is about 3174.1581561101. The cubic root of 10075280 is about 215.9827375322.

The spelling of 10075280 in words is "ten million, seventy-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 125941 251882 503764 629705 1007528 1259410 2015056 2518820 5037640 10075280