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2116560 = 24358819
BaseRepresentation
bin1000000100101111010000
310222112101010
420010233100
51020212220
6113210520
723663505
oct10045720
93875333
102116560
111216226
12860a40
13591504
143d14ac
152bc1e0
hex204bd0

2116560 has 40 divisors (see below), whose sum is σ = 6562080. Its totient is φ = 564352.

The previous prime is 2116559. The next prime is 2116561. The reversal of 2116560 is 656112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2116559) and next prime (2116561).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4170 + ... + 4649.

It is an arithmetic number, because the mean of its divisors is an integer number (164052).

22116560 is an apocalyptic number.

2116560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2116560 is an abundant number, since it is smaller than the sum of its proper divisors (4445520).

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

2116560 is a wasteful number, since it uses less digits than its factorization.

2116560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8835 (or 8829 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2116560 is about 1454.8401974100. The cubic root of 2116560 is about 128.3936449335.

The spelling of 2116560 in words is "two million, one hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8819 17638 26457 35276 44095 52914 70552 88190 105828 132285 141104 176380 211656 264570 352760 423312 529140 705520 1058280 2116560