Search a number
-
+
6396516420 = 22357113134777
BaseRepresentation
bin1011111010100001…
…10001100001000100
3121111210011200221120
411331100301201010
5101100002011140
62534415313540
7314340330630
oct57520614104
917453150846
106396516420
112792737508
1212a621b8b0
137ac28a878
14449747dc0
1527685e1d0
hex17d431844

6396516420 has 96 divisors (see below), whose sum is σ = 20650146048. Its totient is φ = 1449111552.

The previous prime is 6396516391. The next prime is 6396516439. The reversal of 6396516420 is 246156936.

It is a super-2 number, since 2×63965164202 = 81830844622659232800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 19929 + ... + 114848.

It is an arithmetic number, because the mean of its divisors is an integer number (215105688).

Almost surely, 26396516420 is an apocalyptic number.

6396516420 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 6396516420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10325073024).

6396516420 is an abundant number, since it is smaller than the sum of its proper divisors (14253629628).

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

6396516420 is a wasteful number, since it uses less digits than its factorization.

6396516420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134909 (or 134907 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 6396516420 is about 79978.2246614664. The cubic root of 6396516420 is about 1856.2986109321.

It can be divided in two parts, 6396516 and 420, that added together give a palindrome (6396936).

The spelling of 6396516420 in words is "six billion, three hundred ninety-six million, five hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 113 140 210 226 339 420 452 565 678 791 1130 1356 1582 1695 2260 2373 3164 3390 3955 4746 6780 7910 9492 11865 15820 23730 47460 134777 269554 404331 539108 673885 808662 943439 1347770 1617324 1886878 2021655 2695540 2830317 3773756 4043310 4717195 5660634 8086620 9434390 11321268 14151585 15229801 18868780 28303170 30459602 45689403 56606340 60919204 76149005 91378806 106608607 152298010 182757612 213217214 228447015 304596020 319825821 426434428 456894030 533043035 639651642 913788060 1066086070 1279303284 1599129105 2132172140 3198258210 6396516420