Search a number
-
+
10239960192 = 2737112231553
BaseRepresentation
bin10011000100101100…
…10110010010000000
3222102122021212121220
421202112112102000
5131432412211232
64412033515040
7511520140230
oct114226262200
928378255556
1010239960192
114385210720
121b99412a80
13c72626157
146d1d87cc0
153edeac42c
hex262596480

10239960192 has 256 divisors, whose sum is σ = 34085560320. Its totient is φ = 2646097920.

The previous prime is 10239960131. The next prime is 10239960253. The reversal of 10239960192 is 29106993201.

It is an interprime number because it is at equal distance from previous prime (10239960131) and next prime (10239960253).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6592888 + ... + 6594440.

It is an arithmetic number, because the mean of its divisors is an integer number (133146720).

Almost surely, 210239960192 is an apocalyptic number.

10239960192 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 10239960192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17042780160).

10239960192 is an abundant number, since it is smaller than the sum of its proper divisors (23845600128).

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

10239960192 is a wasteful number, since it uses less digits than its factorization.

10239960192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The spelling of 10239960192 in words is "ten billion, two hundred thirty-nine million, nine hundred sixty thousand, one hundred ninety-two".