Search a number
-
+
10038378 = 237594051
BaseRepresentation
bin100110010010…
…110001101010
3200220000001210
4212102301222
510032212003
6555053550
7151216260
oct46226152
920800053
1010038378
115736a89
1234412b6
13210618c
141494430
15d34503
hex992c6a

10038378 has 32 divisors (see below), whose sum is σ = 23339520. Its totient is φ = 2818800.

The previous prime is 10038377. The next prime is 10038397. The reversal of 10038378 is 87383001.

It is not an unprimeable number, because it can be changed into a prime (10038377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453 + ... + 4503.

It is an arithmetic number, because the mean of its divisors is an integer number (729360).

Almost surely, 210038378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10038378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11669760).

10038378 is an abundant number, since it is smaller than the sum of its proper divisors (13301142).

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

10038378 is a wasteful number, since it uses less digits than its factorization.

10038378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 10038378 is about 3168.3399438823. The cubic root of 10038378 is about 215.7187268232.

The spelling of 10038378 in words is "ten million, thirty-eight thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 42 59 118 177 354 413 826 1239 2478 4051 8102 12153 24306 28357 56714 85071 170142 239009 478018 717027 1434054 1673063 3346126 5019189 10038378