Search a number
-
+
6010744320 = 29345741101
BaseRepresentation
bin1011001100100010…
…01010111000000000
3120111220021110010000
411212101022320000
544302222304240
62432235040000
7301644324630
oct54621127000
916456243100
106010744320
1126049aa199
1211b8ba0000
1374a38b359
144104086c0
15252a5b430
hex16644ae00

6010744320 has 800 divisors, whose sum is σ = 25453745856. Its totient is φ = 1327104000.

The previous prime is 6010744303. The next prime is 6010744321. The reversal of 6010744320 is 234470106.

It is a super-2 number, since 2×60107443202 = 72258094560824524800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6010744321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59512270 + ... + 59512370.

Almost surely, 26010744320 is an apocalyptic number.

6010744320 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 6010744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12726872928).

6010744320 is an abundant number, since it is smaller than the sum of its proper divisors (19443001536).

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

6010744320 is a wasteful number, since it uses less digits than its factorization.

6010744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6010744320 is about 77528.9901907667. The cubic root of 6010744320 is about 1818.2045974358.

The spelling of 6010744320 in words is "six billion, ten million, seven hundred forty-four thousand, three hundred twenty".