Search a number
-
+
6070631424 = 2103111321063
BaseRepresentation
bin1011010011101011…
…00111110000000000
3120200001222000202220
411221311213300000
544413040201144
62442214411040
7303302341614
oct55165476000
916601860686
106070631424
112635793270
121215060a80
137598c8b00
14418357344
15257e3a919
hex169d67c00

6070631424 has 264 divisors, whose sum is σ = 19131622272. Its totient is φ = 1696481280.

The previous prime is 6070631417. The next prime is 6070631429. The reversal of 6070631424 is 4241360706.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6070631429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5710317 + ... + 5711379.

Almost surely, 26070631424 is an apocalyptic number.

6070631424 is a gapful number since it is divisible by the number (64) 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 6070631424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9565811136).

6070631424 is an abundant number, since it is smaller than the sum of its proper divisors (13060990848).

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

6070631424 is a wasteful number, since it uses less digits than its factorization.

6070631424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 6070631424 is about 77914.2568725391. The cubic root of 6070631424 is about 1824.2231182895.

The spelling of 6070631424 in words is "six billion, seventy million, six hundred thirty-one thousand, four hundred twenty-four".