Search a number
-
+
3058063680 = 263571943557
BaseRepresentation
bin1011011001000110…
…0101100101000000
321220010021201201210
42312101211211000
522230331014210
61223240530120
7135532053360
oct26621454500
97803251653
103058063680
11132a219561
12714180940
13399734049
142101dc9a0
1512d712e20
hexb6465940

3058063680 has 448 divisors, whose sum is σ = 11973519360. Its totient is φ = 645636096.

The previous prime is 3058063643. The next prime is 3058063691. The reversal of 3058063680 is 863608503.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5489962 + ... + 5490518.

Almost surely, 23058063680 is an apocalyptic number.

3058063680 is a gapful number since it is divisible by the number (30) 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 3058063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5986759680).

3058063680 is an abundant number, since it is smaller than the sum of its proper divisors (8915455680).

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

3058063680 is a wasteful number, since it uses less digits than its factorization.

3058063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3058063680 is about 55299.7620248044. The cubic root of 3058063680 is about 1451.4948800414.

The spelling of 3058063680 in words is "three billion, fifty-eight million, sixty-three thousand, six hundred eighty".