Search a number
-
+
10075020 = 2235167917
BaseRepresentation
bin100110011011…
…101110001100
3200221212022220
4212123232030
510034400040
6555535340
7151431144
oct46335614
920855286
1010075020
11576156a
12345a550
132119a67
1414a3924
15d402d0
hex99bb8c

10075020 has 24 divisors (see below), whose sum is σ = 28210224. Its totient is φ = 2686656.

The previous prime is 10075019. The next prime is 10075027. The reversal of 10075020 is 2057001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10075027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83899 + ... + 84018.

It is an arithmetic number, because the mean of its divisors is an integer number (1175426).

Almost surely, 210075020 is an apocalyptic number.

10075020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10075020 is an abundant number, since it is smaller than the sum of its proper divisors (18135204).

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

10075020 is a wasteful number, since it uses less digits than its factorization.

10075020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167929 (or 167927 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 10075020 is about 3174.1172001046. The cubic root of 10075020 is about 215.9808796518.

The spelling of 10075020 in words is "ten million, seventy-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167917 335834 503751 671668 839585 1007502 1679170 2015004 2518755 3358340 5037510 10075020