Search a number
-
+
9142636860 = 223657293089
BaseRepresentation
bin10001000001111000…
…11001000100111100
3212121011111002000000
420200330121010330
5122211003334420
64111114234300
7442364062650
oct104074310474
925534432000
109142636860
113971864435
121931a25990
13b291a18c6
1462a344a60
153879a4690
hex220f1913c

9142636860 has 336 divisors, whose sum is σ = 34043889600. Its totient is φ = 2017032192.

The previous prime is 9142636829. The next prime is 9142636897. The reversal of 9142636860 is 686362419.

9142636860 is a `hidden beast` number, since 9 + 1 + 4 + 2 + 636 + 8 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2958196 + ... + 2961284.

It is an arithmetic number, because the mean of its divisors is an integer number (101321100).

Almost surely, 29142636860 is an apocalyptic number.

9142636860 is a gapful number since it is divisible by the number (90) 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 9142636860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17021944800).

9142636860 is an abundant number, since it is smaller than the sum of its proper divisors (24901252740).

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

9142636860 is a wasteful number, since it uses less digits than its factorization.

9142636860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 9142636860 is about 95617.1368531813. The cubic root of 9142636860 is about 2091.0150407824.

The spelling of 9142636860 in words is "nine billion, one hundred forty-two million, six hundred thirty-six thousand, eight hundred sixty".