Search a number
-
+
2685360384 = 2833755501
BaseRepresentation
bin1010000000001111…
…0101100100000000
320221010222102221000
42200003311210000
520444423013014
61122244332000
7123355121010
oct24003654400
96833872830
102685360384
1111588a8003
1262b3a4000
1333a45c155
141b6901c40
1510ab42509
hexa00f5900

2685360384 has 144 divisors (see below), whose sum is σ = 9075687040. Its totient is φ = 767232000.

The previous prime is 2685360373. The next prime is 2685360389. The reversal of 2685360384 is 4830635862.

It is a happy number.

2685360384 is a `hidden beast` number, since 268 + 5 + 3 + 6 + 0 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×26853603842 = 14422320783913254912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2685360389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20634 + ... + 76134.

Almost surely, 22685360384 is an apocalyptic number.

2685360384 is a gapful number since it is divisible by the number (24) 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 2685360384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4537843520).

2685360384 is an abundant number, since it is smaller than the sum of its proper divisors (6390326656).

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

2685360384 is an equidigital number, since it uses as much as digits as its factorization.

2685360384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55533 (or 55513 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2685360384 is about 51820.4629851953. The cubic root of 2685360384 is about 1389.9553811394.

The spelling of 2685360384 in words is "two billion, six hundred eighty-five million, three hundred sixty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 55501 111002 166503 222004 333006 388507 444008 499509 666012 777014 888016 999018 1165521 1332024 1498527 1554028 1776032 1998036 2331042 2664048 2997054 3108056 3496563 3552064 3996072 4662084 5328096 5994108 6216112 6993126 7104128 7992144 9324168 10489689 10656192 11988216 12432224 13986252 14208256 15984288 18648336 20979378 21312384 23976432 24864448 27972504 31968576 37296672 41958756 42624768 47952864 49728896 55945008 63937152 74593344 83917512 95905728 99457792 111890016 127874304 149186688 167835024 191811456 223780032 298373376 335670048 383622912 447560064 671340096 895120128 1342680192 2685360384