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2116320360 = 2335711233983
BaseRepresentation
bin111111000100100…
…0111110001101000
312110111020012202120
41332021013301220
513313234222420
6550000031240
7103305266130
oct17611076150
95414205676
102116320360
119966758a0
124b0902520
132795b348b
141610d7ac0
15c5bdcd40
hex7e247c68

2116320360 has 256 divisors, whose sum is σ = 7957647360. Its totient is φ = 437422080.

The previous prime is 2116320299. The next prime is 2116320389. The reversal of 2116320360 is 630236112.

It is a happy number.

2116320360 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2116320360.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2152429 + ... + 2153411.

It is an arithmetic number, because the mean of its divisors is an integer number (31084560).

Almost surely, 22116320360 is an apocalyptic number.

2116320360 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 2116320360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978823680).

2116320360 is an abundant number, since it is smaller than the sum of its proper divisors (5841327000).

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

2116320360 is a wasteful number, since it uses less digits than its factorization.

2116320360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2116320360 is about 46003.4820421237. The cubic root of 2116320360 is about 1283.8879911221.

Adding to 2116320360 its reverse (630236112), we get a palindrome (2746556472).

The spelling of 2116320360 in words is "two billion, one hundred sixteen million, three hundred twenty thousand, three hundred sixty".