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6324106020 = 22353111330089
BaseRepresentation
bin1011110001111001…
…00011001100100100
3121022201220212112220
411320330203030210
5100422432343040
62523311312340
7312501004611
oct57074431444
917281825486
106324106020
11275587a501
121285b1b6b0
1379a286b8b
1443dc99508
152703092d0
hex178f23324

6324106020 has 96 divisors (see below), whose sum is σ = 18441077760. Its totient is φ = 1617530880.

The previous prime is 6324105959. The next prime is 6324106031. The reversal of 6324106020 is 206014236.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195136 + ... + 225224.

It is an arithmetic number, because the mean of its divisors is an integer number (192094560).

Almost surely, 26324106020 is an apocalyptic number.

6324106020 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 6324106020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9220538880).

6324106020 is an abundant number, since it is smaller than the sum of its proper divisors (12116971740).

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

6324106020 is a wasteful number, since it uses less digits than its factorization.

6324106020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30245 (or 30243 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 6324106020 is about 79524.2480002169. The cubic root of 6324106020 is about 1849.2674011885.

The spelling of 6324106020 in words is "six billion, three hundred twenty-four million, one hundred six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 113 124 155 186 226 310 339 372 452 465 565 620 678 930 1130 1356 1695 1860 2260 3390 3503 6780 7006 10509 14012 17515 21018 30089 35030 42036 52545 60178 70060 90267 105090 120356 150445 180534 210180 300890 361068 451335 601780 902670 932759 1805340 1865518 2798277 3400057 3731036 4663795 5596554 6800114 9327590 10200171 11193108 13600228 13991385 17000285 18655180 20400342 27982770 34000570 40800684 51000855 55965540 68001140 102001710 105401767 204003420 210803534 316205301 421607068 527008835 632410602 1054017670 1264821204 1581026505 2108035340 3162053010 6324106020