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3564090 = 23251992
BaseRepresentation
bin1101100110001000111010
320201002000100
431212020322
51403022330
6204220230
742202635
oct15461072
96632010
103564090
112014832
12123a676
1397a33a
1468ac1c
154a6060
hex36623a

3564090 has 36 divisors (see below), whose sum is σ = 9313434. Its totient is φ = 945648.

The previous prime is 3564073. The next prime is 3564097. The reversal of 3564090 is 904653.

It is a happy number.

3564090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3207681 + 356409 = 1791^2 + 597^2 .

It is an Ulam number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3564097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17811 + ... + 18009.

Almost surely, 23564090 is an apocalyptic number.

3564090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3564090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656717).

3564090 is an abundant number, since it is smaller than the sum of its proper divisors (5749344).

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

3564090 is a wasteful number, since it uses less digits than its factorization.

3564090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3564090 is about 1887.8797631205. The cubic root of 3564090 is about 152.7505868475.

Multiplying 3564090 by its product of nonzero digits (3240), we get a square (11547651600 = 1074602).

The spelling of 3564090 in words is "three million, five hundred sixty-four thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 199 398 597 995 1194 1791 1990 2985 3582 5970 8955 17910 39601 79202 118803 198005 237606 356409 396010 594015 712818 1188030 1782045 3564090