Search a number
-
+
8112337920 = 21034531631
BaseRepresentation
bin1111000111000100…
…00111010000000000
3202221100210110120000
413203202013100000
5113103224303140
63420551320000
7405013506651
oct74342072000
922840713500
108112337920
113493226605
1216a4980000
139c38b666b
1456d58b528
153272daa30
hex1e3887400

8112337920 has 440 divisors, whose sum is σ = 30055331328. Its totient is φ = 2090188800.

The previous prime is 8112337901. The next prime is 8112337943. The reversal of 8112337920 is 297332118.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12856005 + ... + 12856635.

Almost surely, 28112337920 is an apocalyptic number.

8112337920 is a gapful number since it is divisible by the number (80) 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 8112337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15027665664).

8112337920 is an abundant number, since it is smaller than the sum of its proper divisors (21942993408).

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

8112337920 is a wasteful number, since it uses less digits than its factorization.

8112337920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 8112337920 is about 90068.5179183048. The cubic root of 8112337920 is about 2009.3180132281.

The spelling of 8112337920 in words is "eight billion, one hundred twelve million, three hundred thirty-seven thousand, nine hundred twenty".