Search a number
-
+
10120794750 = 2335311314397
BaseRepresentation
bin10010110110011111…
…10001001001111110
3222010100001122101000
421123033301021332
5131211410413000
64352135431130
7505542223143
oct113317611176
928110048330
1010120794750
114323a19990
121b655254a6
13c53a32061
146c02083ca
153e37be000
hex25b3f127e

10120794750 has 256 divisors, whose sum is σ = 31614935040. Its totient is φ = 2373840000.

The previous prime is 10120794727. The next prime is 10120794757. The reversal of 10120794750 is 5749702101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120794757) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2299552 + ... + 2303948.

It is an arithmetic number, because the mean of its divisors is an integer number (123495840).

Almost surely, 210120794750 is an apocalyptic number.

10120794750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120794750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15807467520).

10120794750 is an abundant number, since it is smaller than the sum of its proper divisors (21494140290).

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

10120794750 is a wasteful number, since it uses less digits than its factorization.

10120794750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4465 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 10120794750 in words is "ten billion, one hundred twenty million, seven hundred ninety-four thousand, seven hundred fifty".