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1822968 = 233273617
BaseRepresentation
bin110111101000011111000
310102121122100
412331003320
5431313333
6103023400
721331530
oct6750370
93377570
101822968
111035694
1273ab60
134ba9a4
143564c0
15260213
hex1bd0f8

1822968 has 48 divisors (see below), whose sum is σ = 5644080. Its totient is φ = 520704.

The previous prime is 1822967. The next prime is 1822981. The reversal of 1822968 is 8692281.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1822963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1305 + ... + 2312.

It is an arithmetic number, because the mean of its divisors is an integer number (117585).

21822968 is an apocalyptic number.

1822968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1822968 is an abundant number, since it is smaller than the sum of its proper divisors (3821112).

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

1822968 is a wasteful number, since it uses less digits than its factorization.

1822968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636 (or 3629 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1822968 is about 1350.1733222072. The cubic root of 1822968 is about 122.1592473865.

The spelling of 1822968 in words is "one million, eight hundred twenty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 3617 7234 10851 14468 21702 25319 28936 32553 43404 50638 65106 75957 86808 101276 130212 151914 202552 227871 260424 303828 455742 607656 911484 1822968