Search a number
-
+
6243130080 = 253451143793
BaseRepresentation
bin1011101000001111…
…01001101011100000
3121010002112212110000
411310013221223200
5100241220130310
62511255540000
7310465505265
oct56407515340
917102485400
106243130080
1127140a2040
12126298a600
13786574515
1443321b26c
152681614c0
hex1741e9ae0

6243130080 has 240 divisors, whose sum is σ = 24036599664. Its totient is φ = 1513451520.

The previous prime is 6243130079. The next prime is 6243130111. The reversal of 6243130080 is 800313426.

It is a happy number.

6243130080 is a `hidden beast` number, since 624 + 3 + 1 + 30 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 120664 + ... + 164456.

Almost surely, 26243130080 is an apocalyptic number.

6243130080 is a gapful number since it is divisible by the number (60) 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 6243130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12018299832).

6243130080 is an abundant number, since it is smaller than the sum of its proper divisors (17793469584).

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

6243130080 is a wasteful number, since it uses less digits than its factorization.

6243130080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43831 (or 43814 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6243130080 is about 79013.4803688586. The cubic root of 6243130080 is about 1841.3405951749.

The spelling of 6243130080 in words is "six billion, two hundred forty-three million, one hundred thirty thousand, eighty".