Search a number
-
+
10378720 = 255115897
BaseRepresentation
bin100111100101…
…110111100000
3201112021221001
4213211313200
510124104340
61010241344
7154134442
oct47456740
921467831
1010378720
115949760
123586254
1321c5071
141542492
15da029a
hex9e5de0

10378720 has 48 divisors (see below), whose sum is σ = 26753328. Its totient is φ = 3773440.

The previous prime is 10378691. The next prime is 10378741. The reversal of 10378720 is 2787301.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 1189 + ... + 4708.

It is an arithmetic number, because the mean of its divisors is an integer number (557361).

Almost surely, 210378720 is an apocalyptic number.

10378720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10378720 is an abundant number, since it is smaller than the sum of its proper divisors (16374608).

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

10378720 is a wasteful number, since it uses less digits than its factorization.

10378720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 10378720 is about 3221.6020859194. The cubic root of 10378720 is about 218.1295977717.

The spelling of 10378720 in words is "ten million, three hundred seventy-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 5897 11794 23588 29485 47176 58970 64867 94352 117940 129734 188704 235880 259468 324335 471760 518936 648670 943520 1037872 1297340 2075744 2594680 5189360 10378720