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2111968 = 25312129
BaseRepresentation
bin1000000011100111100000
310222022002001
420003213200
51020040333
6113133344
723644225
oct10034740
93868061
102111968
111212831
1285a254
1358c3b1
143cd94c
152bab7d
hex2039e0

2111968 has 24 divisors (see below), whose sum is σ = 4294080. Its totient is φ = 1021440.

The previous prime is 2111959. The next prime is 2111969. The reversal of 2111968 is 8691112.

It is a happy number.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73 + ... + 2056.

It is an arithmetic number, because the mean of its divisors is an integer number (178920).

22111968 is an apocalyptic number.

It is an amenable number.

2111968 is an abundant number, since it is smaller than the sum of its proper divisors (2182112).

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

2111968 is a wasteful number, since it uses less digits than its factorization.

2111968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2162 counting only the distinct ones).

The product of its digits is 864, while the sum is 28.

The square root of 2111968 is about 1453.2611602874. The cubic root of 2111968 is about 128.3007252098.

The spelling of 2111968 in words is "two million, one hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 2129 4258 8516 17032 34064 65999 68128 131998 263996 527992 1055984 2111968