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10075220 = 2251729633
BaseRepresentation
bin100110011011…
…110001010100
3200221212121022
4212123301110
510034401340
6555540312
7151431551
oct46336124
920855538
1010075220
115761731
12345a698
132119b8c
1414a3a28
15d403b5
hex99bc54

10075220 has 24 divisors (see below), whose sum is σ = 22403304. Its totient is φ = 3792896.

The previous prime is 10075213. The next prime is 10075223. The reversal of 10075220 is 2257001.

10075220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5400976 + 4674244 = 2324^2 + 2162^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10075223) 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, 14477 + ... + 15156.

It is an arithmetic number, because the mean of its divisors is an integer number (933471).

Almost surely, 210075220 is an apocalyptic number.

10075220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10075220 is an abundant number, since it is smaller than the sum of its proper divisors (12328084).

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

10075220 is a wasteful number, since it uses less digits than its factorization.

10075220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29659 (or 29657 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 10075220 is about 3174.1487047711. The cubic root of 10075220 is about 215.9823087934.

The spelling of 10075220 in words is "ten million, seventy-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 29633 59266 118532 148165 296330 503761 592660 1007522 2015044 2518805 5037610 10075220