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13446090 = 2325723049
BaseRepresentation
bin110011010010…
…101111001010
3221022010120100
4303102233022
511420233330
61200110230
7222201300
oct63225712
927263510
1013446090
117654279
124605376
132a2a288
141b00270
1512a9060
hexcd2bca

13446090 has 72 divisors (see below), whose sum is σ = 40680900. Its totient is φ = 3072384.

The previous prime is 13446061. The next prime is 13446101. The reversal of 13446090 is 9064431.

13446090 is a `hidden beast` number, since 13 + 44 + 609 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12299049 + 1147041 = 3507^2 + 1071^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2886 + ... + 5934.

Almost surely, 213446090 is an apocalyptic number.

13446090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13446090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20340450).

13446090 is an abundant number, since it is smaller than the sum of its proper divisors (27234810).

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

13446090 is a wasteful number, since it uses less digits than its factorization.

13446090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13446090 is about 3666.8910537402. The cubic root of 13446090 is about 237.7927838829.

The spelling of 13446090 in words is "thirteen million, four hundred forty-six thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 3049 4410 6098 9147 15245 18294 21343 27441 30490 42686 45735 54882 64029 91470 106715 128058 137205 149401 192087 213430 274410 298802 320145 384174 448203 640290 747005 896406 960435 1344609 1494010 1920870 2241015 2689218 4482030 6723045 13446090