Search a number
-
+
8010811380 = 223511136831367
BaseRepresentation
bin1110111010111101…
…10100011111110100
3202200021202101022210
413131132310133310
5112401231431010
63402523253420
7402341526135
oct73536643764
922607671283
108010811380
113440992180
12167697a270
139a885a0a0
1455dcbdc8c
1531d433b20
hex1dd7b47f4

8010811380 has 192 divisors, whose sum is σ = 26409535488. Its totient is φ = 1788695040.

The previous prime is 8010811373. The next prime is 8010811387. The reversal of 8010811380 is 831180108.

It is an interprime number because it is at equal distance from previous prime (8010811373) and next prime (8010811387).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8010811387) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5859457 + ... + 5860823.

It is an arithmetic number, because the mean of its divisors is an integer number (137549664).

Almost surely, 28010811380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8010811380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13204767744).

8010811380 is an abundant number, since it is smaller than the sum of its proper divisors (18398724108).

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

8010811380 is a wasteful number, since it uses less digits than its factorization.

8010811380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 8010811380 is about 89503.1361461709. The cubic root of 8010811380 is about 2000.9005427838.

Adding to 8010811380 its reverse (831180108), we get a palindrome (8841991488).

The spelling of 8010811380 in words is "eight billion, ten million, eight hundred eleven thousand, three hundred eighty".