Search a number
-
+
6414387720 = 2335134111787
BaseRepresentation
bin1011111100101001…
…11100101000001000
3121120000210122202120
411332110330220020
5101114040401340
62540254331240
7314645252556
oct57624745010
917500718676
106414387720
1127a1833484
1212b01b9b20
137b2ba70c0
1444bc7abd6
152781de4d0
hex17e53ca08

6414387720 has 64 divisors (see below), whose sum is σ = 20723411520. Its totient is φ = 1578925824.

The previous prime is 6414387677. The next prime is 6414387731. The reversal of 6414387720 is 277834146.

It is a super-2 number, since 2×64143877202 = 82288739644973596800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2054334 + ... + 2057453.

It is an arithmetic number, because the mean of its divisors is an integer number (323803305).

Almost surely, 26414387720 is an apocalyptic number.

6414387720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6414387720 is an abundant number, since it is smaller than the sum of its proper divisors (14309023800).

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

6414387720 is a wasteful number, since it uses less digits than its factorization.

6414387720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4111814 (or 4111810 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 6414387720 is about 80089.8727680348. The cubic root of 6414387720 is about 1858.0257813452.

The spelling of 6414387720 in words is "six billion, four hundred fourteen million, three hundred eighty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 4111787 8223574 12335361 16447148 20558935 24670722 32894296 41117870 49341444 53453231 61676805 82235740 98682888 106906462 123353610 160359693 164471480 213812924 246707220 267266155 320719386 427625848 493414440 534532310 641438772 801798465 1069064620 1282877544 1603596930 2138129240 3207193860 6414387720