Search a number
-
+
6124431900 = 22352171200869
BaseRepresentation
bin1011011010000101…
…10110101000011100
3120210211012101011010
411231002312220130
5100020323310100
62451415455220
7304524545406
oct55502665034
916724171133
106124431900
11266309a374
12122b087510
13767ab5002
1442155db76
1525ca16750
hex16d0b6a1c

6124431900 has 72 divisors (see below), whose sum is σ = 18762392880. Its totient is φ = 1537111040.

The previous prime is 6124431893. The next prime is 6124431923. The reversal of 6124431900 is 91344216.

It is a super-2 number, since 2×61244319002 = 75017332195475220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595335 + ... + 605534.

It is an arithmetic number, because the mean of its divisors is an integer number (260588790).

Almost surely, 26124431900 is an apocalyptic number.

6124431900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6124431900 is an abundant number, since it is smaller than the sum of its proper divisors (12637960980).

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

6124431900 is a wasteful number, since it uses less digits than its factorization.

6124431900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200903 (or 1200896 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 6124431900 is about 78258.7496705640. The cubic root of 6124431900 is about 1829.5962858727.

The spelling of 6124431900 in words is "six billion, one hundred twenty-four million, four hundred thirty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 1200869 2401738 3602607 4803476 6004345 7205214 12008690 14410428 18013035 20414773 24017380 30021725 36026070 40829546 60043450 61244319 72052140 81659092 90065175 102073865 120086900 122488638 180130350 204147730 244977276 306221595 360260700 408295460 510369325 612443190 1020738650 1224886380 1531107975 2041477300 3062215950 6124431900