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6264402420 = 2235177186501
BaseRepresentation
bin1011101010110001…
…10011000111110100
3121011120120121121110
411311120303013310
5100312141334140
62513335515020
7311144353623
oct56530630764
917146517543
106264402420
112725101291
121269b28a70
1378aab1ac3
14435d976ba
15269e64380
hex1756331f4

6264402420 has 96 divisors (see below), whose sum is σ = 18833907456. Its totient is φ = 1550080000.

The previous prime is 6264402413. The next prime is 6264402439. The reversal of 6264402420 is 242044626.

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 31 ways as a sum of consecutive naturals, for example, 29170 + ... + 115670.

It is an arithmetic number, because the mean of its divisors is an integer number (196186536).

Almost surely, 26264402420 is an apocalyptic number.

6264402420 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 6264402420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9416953728).

6264402420 is an abundant number, since it is smaller than the sum of its proper divisors (12569505036).

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

6264402420 is a wasteful number, since it uses less digits than its factorization.

6264402420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86601 (or 86599 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 6264402420 is about 79147.9779905968. The cubic root of 6264402420 is about 1843.4295697174.

The spelling of 6264402420 in words is "six billion, two hundred sixty-four million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 71 85 102 142 170 204 213 255 284 340 355 426 510 710 852 1020 1065 1207 1420 2130 2414 3621 4260 4828 6035 7242 12070 14484 18105 24140 36210 72420 86501 173002 259503 346004 432505 519006 865010 1038012 1297515 1470517 1730020 2595030 2941034 4411551 5190060 5882068 6141571 7352585 8823102 12283142 14705170 17646204 18424713 22057755 24566284 29410340 30707855 36849426 44115510 61415710 73698852 88231020 92123565 104406707 122831420 184247130 208813414 313220121 368494260 417626828 522033535 626440242 1044067070 1252880484 1566100605 2088134140 3132201210 6264402420