Search a number
-
+
10378764 = 22321126209
BaseRepresentation
bin100111100101…
…111000001100
3201112021222200
4213211320030
510124110024
61010241500
7154134534
oct47457014
921467880
1010378764
1159497a0
123586290
1321c50a6
1415424c4
15da02c9
hex9e5e0c

10378764 has 36 divisors (see below), whose sum is σ = 28621320. Its totient is φ = 3144960.

The previous prime is 10378763. The next prime is 10378777. The reversal of 10378764 is 46787301.

10378764 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10378763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12709 + ... + 13500.

Almost surely, 210378764 is an apocalyptic number.

It is an amenable number.

10378764 is an abundant number, since it is smaller than the sum of its proper divisors (18242556).

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

10378764 is a wasteful number, since it uses less digits than its factorization.

10378764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26230 (or 26225 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 10378764 is about 3221.6089148126. The cubic root of 10378764 is about 218.1299060207.

It can be divided in two parts, 1037 and 8764, that added together give a square (9801 = 992).

The spelling of 10378764 in words is "ten million, three hundred seventy-eight thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 26209 52418 78627 104836 157254 235881 288299 314508 471762 576598 864897 943524 1153196 1729794 2594691 3459588 5189382 10378764