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2416327660 = 2251949912743
BaseRepresentation
bin1001000000000110…
…0011101111101100
320020101202011102001
42100001203233230
514422034441120
61035434142044
7113610306025
oct22001435754
96211664361
102416327660
11102aa5480a
12575281924
132c67b46a6
1418ccadc4c
15e21ede0a
hex90063bec

2416327660 has 48 divisors (see below), whose sum is σ = 5352480000. Its totient is φ = 913754304.

The previous prime is 2416327649. The next prime is 2416327663. The reversal of 2416327660 is 667236142.

It is not an unprimeable number, because it can be changed into a prime (2416327663) 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, 183249 + ... + 195991.

It is an arithmetic number, because the mean of its divisors is an integer number (111510000).

Almost surely, 22416327660 is an apocalyptic number.

2416327660 is a gapful number since it is divisible by the number (20) 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 2416327660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676240000).

2416327660 is an abundant number, since it is smaller than the sum of its proper divisors (2936152340).

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

2416327660 is a wasteful number, since it uses less digits than its factorization.

2416327660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13270 (or 13268 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 2416327660 is about 49156.1558708571. The cubic root of 2416327660 is about 1341.8952279274.

The spelling of 2416327660 in words is "two billion, four hundred sixteen million, three hundred twenty-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 499 998 1996 2495 4990 9481 9980 12743 18962 25486 37924 47405 50972 63715 94810 127430 189620 242117 254860 484234 968468 1210585 2421170 4842340 6358757 12717514 25435028 31793785 63587570 120816383 127175140 241632766 483265532 604081915 1208163830 2416327660