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1966084 = 221729997
BaseRepresentation
bin111100000000000000100
310200212221221
413200000010
51000403314
6110050124
722466011
oct7400004
93625857
101966084
11112316a
127a9944
1353ab83
14392708
1528c824
hex1e0004

1966084 has 24 divisors (see below), whose sum is σ = 3772440. Its totient is φ = 892416.

The previous prime is 1966079. The next prime is 1966123. The reversal of 1966084 is 4806691.

It can be written as a sum of positive squares in 4 ways, for example, as 921600 + 1044484 = 960^2 + 1022^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1474 + ... + 2470.

It is an arithmetic number, because the mean of its divisors is an integer number (157185).

21966084 is an apocalyptic number.

It is an amenable number.

1966084 is a deficient number, since it is larger than the sum of its proper divisors (1806356).

1966084 is a wasteful number, since it uses less digits than its factorization.

1966084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 1966084 is about 1402.1711735733. The cubic root of 1966084 is about 125.2758494754.

It can be divided in two parts, 196 and 6084, that multiplied together give a square (1192464 = 10922).

The spelling of 1966084 in words is "one million, nine hundred sixty-six thousand, eighty-four".

Divisors: 1 2 4 17 29 34 58 68 116 493 986 997 1972 1994 3988 16949 28913 33898 57826 67796 115652 491521 983042 1966084