Search a number
-
+
10092242160 = 243257112131967
BaseRepresentation
bin10010110011000101…
…10110010011110000
3222001100100000120200
421121202312103300
5131132103222120
64345235435200
7505044433350
oct113142662360
928040300520
1010092242160
114309897a00
121b57a55b00
13c4ab45b30
146ba4d4b60
153e102de90
hex2598b64f0

10092242160 has 1440 divisors, whose sum is σ = 48985198080. Its totient is φ = 1806520320.

The previous prime is 10092242159. The next prime is 10092242161. The reversal of 10092242160 is 6124229001.

It is an interprime number because it is at equal distance from previous prime (10092242159) and next prime (10092242161).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10092242161) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 150630447 + ... + 150630513.

Almost surely, 210092242160 is an apocalyptic number.

10092242160 is a gapful number since it is divisible by the number (10) 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 10092242160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24492599040).

10092242160 is an abundant number, since it is smaller than the sum of its proper divisors (38892955920).

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

10092242160 is a wasteful number, since it uses less digits than its factorization.

10092242160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

It can be divided in two parts, 10092 and 242160, that added together give a palindrome (252252).

The spelling of 10092242160 in words is "ten billion, ninety-two million, two hundred forty-two thousand, one hundred sixty".