Search a number
-
+
10367392080 = 243543197467
BaseRepresentation
bin10011010011111000…
…11101100101010000
3222202112002002022110
421221330131211100
5132213023021310
64432425105320
7514625243613
oct115174354520
928675062273
1010367392080
114440139131
122014028240
13c92b52a36
14704c7a17a
1540a27ed20
hex269f1d950

10367392080 has 40 divisors (see below), whose sum is σ = 32138916192. Its totient is φ = 2764637824.

The previous prime is 10367392073. The next prime is 10367392111. The reversal of 10367392080 is 8029376301.

10367392080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21598494 + ... + 21598973.

Almost surely, 210367392080 is an apocalyptic number.

10367392080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10367392080 is an abundant number, since it is smaller than the sum of its proper divisors (21771524112).

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

10367392080 is a wasteful number, since it uses less digits than its factorization.

10367392080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43197483 (or 43197477 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 10367392080 in words is "ten billion, three hundred sixty-seven million, three hundred ninety-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 43197467 86394934 129592401 172789868 215987335 259184802 345579736 431974670 518369604 647962005 691159472 863949340 1036739208 1295924010 1727898680 2073478416 2591848020 3455797360 5183696040 10367392080