Search a number
-
+
10055080 = 235735911
BaseRepresentation
bin100110010110…
…110110101000
3200220211222101
4212112312220
510033230310
6555303144
7151316050
oct46266650
920824871
1010055080
115748592
12344aab4
132110969
14149a560
15d3943a
hex996da8

10055080 has 32 divisors (see below), whose sum is σ = 25856640. Its totient is φ = 3447360.

The previous prime is 10055053. The next prime is 10055081. The reversal of 10055080 is 8055001.

10055080 = T2003 + T2004 + ... + T2007.

10055080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100550802 = 202209267612800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10055081) 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, 17676 + ... + 18235.

It is an arithmetic number, because the mean of its divisors is an integer number (808020).

Almost surely, 210055080 is an apocalyptic number.

10055080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10055080 is an abundant number, since it is smaller than the sum of its proper divisors (15801560).

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

10055080 is a wasteful number, since it uses less digits than its factorization.

10055080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35929 (or 35925 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 10055080 is about 3170.9746135849. The cubic root of 10055080 is about 215.8382991889.

The spelling of 10055080 in words is "ten million, fifty-five thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 35911 71822 143644 179555 251377 287288 359110 502754 718220 1005508 1256885 1436440 2011016 2513770 5027540 10055080