Search a number
-
+
10085360 = 245126067
BaseRepresentation
bin100110011110…
…001111110000
3200222101111212
4212132033300
510040212420
61000055252
7151503245
oct46361760
920871455
1010085360
11576930a
123464528
13212168c
1414a75cc
15d433c5
hex99e3f0

10085360 has 20 divisors (see below), whose sum is σ = 23448648. Its totient is φ = 4034112.

The previous prime is 10085351. The next prime is 10085429. The reversal of 10085360 is 6358001.

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

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 62954 + ... + 63113.

Almost surely, 210085360 is an apocalyptic number.

10085360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10085360 is an abundant number, since it is smaller than the sum of its proper divisors (13363288).

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

10085360 is a wasteful number, since it uses less digits than its factorization.

10085360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126080 (or 126074 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 10085360 is about 3175.7455817493. The cubic root of 10085360 is about 216.0547414982.

The spelling of 10085360 in words is "ten million, eighty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 126067 252134 504268 630335 1008536 1260670 2017072 2521340 5042680 10085360