Search a number
-
+
10137378 = 235633001
BaseRepresentation
bin100110101010…
…111100100010
3201002000212110
4212222330202
510043344003
61001140150
7152111016
oct46527442
921060773
1010137378
1157a43a9
12348a656
13213c264
1414bc546
15d53a03
hex9aaf22

10137378 has 16 divisors (see below), whose sum is σ = 20317536. Its totient is φ = 3372000.

The previous prime is 10137349. The next prime is 10137419. The reversal of 10137378 is 87373101.

10137378 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1878 + ... + 4878.

It is an arithmetic number, because the mean of its divisors is an integer number (1269846).

Almost surely, 210137378 is an apocalyptic number.

10137378 is an abundant number, since it is smaller than the sum of its proper divisors (10180158).

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

10137378 is a wasteful number, since it uses less digits than its factorization.

10137378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569.

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 10137378 is about 3183.9249363011. The cubic root of 10137378 is about 216.4255584856.

The spelling of 10137378 in words is "ten million, one hundred thirty-seven thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 563 1126 1689 3001 3378 6002 9003 18006 1689563 3379126 5068689 10137378