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1966122 = 232109229
BaseRepresentation
bin111100000000000101010
310200220000100
413200000222
51000403442
6110050230
722466064
oct7400052
93626010
101966122
1111231a4
127a9976
1353abb2
14392734
1528c84c
hex1e002a

1966122 has 12 divisors (see below), whose sum is σ = 4259970. Its totient is φ = 655368.

The previous prime is 1966079. The next prime is 1966123. The reversal of 1966122 is 2216691.

It can be written as a sum of positive squares in only one way, i.e., 1390041 + 576081 = 1179^2 + 759^2 .

It is a super-4 number, since 4×19661224 (a number of 26 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1966123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54597 + ... + 54632.

21966122 is an apocalyptic number.

1966122 is an abundant number, since it is smaller than the sum of its proper divisors (2293848).

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

1966122 is a wasteful number, since it uses less digits than its factorization.

1966122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109237 (or 109234 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 1966122 is about 1402.1847239219. The cubic root of 1966122 is about 125.2766565707.

It can be divided in two parts, 19661 and 22, that added together give a 9-th power (19683 = 39).

The spelling of 1966122 in words is "one million, nine hundred sixty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 109229 218458 327687 655374 983061 1966122