Search a number
-
+
10239372 = 22341113217
BaseRepresentation
bin100111000011…
…110110001100
3201021012210000
4213003312030
510110124442
61003244300
7153014253
oct47036614
921235700
1010239372
115863aa0
123519690
132176800
14150779a
15d73d4c
hex9c3d8c

10239372 has 180 divisors, whose sum is σ = 33480216. Its totient is φ = 2695680.

The previous prime is 10239329. The next prime is 10239377. The reversal of 10239372 is 27393201.

10239372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10239377) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 602308 + ... + 602324.

Almost surely, 210239372 is an apocalyptic number.

10239372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10239372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740108).

10239372 is an abundant number, since it is smaller than the sum of its proper divisors (23240844).

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

10239372 is a wasteful number, since it uses less digits than its factorization.

10239372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 10239372 is about 3199.9018734955. The cubic root of 10239372 is about 217.1489700330.

The spelling of 10239372 in words is "ten million, two hundred thirty-nine thousand, three hundred seventy-two".