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1664100 = 223252432
BaseRepresentation
bin110010110010001100100
310010112201100
412112101210
5411222400
655400100
720100414
oct6262144
93115640
101664100
11a37299
12683030
13463599
14314644
1522d100
hex196464

1664100 has 81 divisors (see below), whose sum is σ = 5340153. Its totient is φ = 433440.

The previous prime is 1664083. The next prime is 1664101. The reversal of 1664100 is 14661.

The square root of 1664100 is 1290.

It is a perfect power (a square), and thus also a powerful number.

1664100 is a `hidden beast` number, since 1 + 664 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 599076 + 1065024 = 774^2 + 1032^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1664101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38679 + ... + 38721.

21664100 is an apocalyptic number.

1664100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1664100 is the 1290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1664100

1664100 is an abundant number, since it is smaller than the sum of its proper divisors (3676053).

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

1664100 is a wasteful number, since it uses less digits than its factorization.

1664100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 1664100 is about 118.5022164837.

Multiplying 1664100 by its product of nonzero digits (144), we get a square (239630400 = 154802).

Adding to 1664100 its reverse (14661), we get a palindrome (1678761).

It can be divided in two parts, 1664 and 100, that added together give a square (1764 = 422).

The spelling of 1664100 in words is "one million, six hundred sixty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 43 45 50 60 75 86 90 100 129 150 172 180 215 225 258 300 387 430 450 516 645 774 860 900 1075 1290 1548 1849 1935 2150 2580 3225 3698 3870 4300 5547 6450 7396 7740 9245 9675 11094 12900 16641 18490 19350 22188 27735 33282 36980 38700 46225 55470 66564 83205 92450 110940 138675 166410 184900 277350 332820 416025 554700 832050 1664100