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12083090 = 2517237113
BaseRepresentation
bin101110000101…
…111110010010
3211201212212212
4232011332102
511043124330
61110552122
7204463445
oct56057622
924655785
1012083090
116903228
124068642
132670a76
14186765c
1510da295
hexb85f92

12083090 has 48 divisors (see below), whose sum is σ = 23938632. Its totient is φ = 4386816.

The previous prime is 12083083. The next prime is 12083117. The reversal of 12083090 is 9038021.

It can be written as a sum of positive squares in 12 ways, for example, as 2968729 + 9114361 = 1723^2 + 3019^2 .

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 23 ways as a sum of consecutive naturals, for example, 106874 + ... + 106986.

Almost surely, 212083090 is an apocalyptic number.

12083090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12083090 is a deficient number, since it is larger than the sum of its proper divisors (11855542).

12083090 is a wasteful number, since it uses less digits than its factorization.

12083090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 12083090 is about 3476.0739347718. The cubic root of 12083090 is about 229.4700463879.

The spelling of 12083090 in words is "twelve million, eighty-three thousand, ninety".

Divisors: 1 2 5 10 17 34 37 74 85 113 170 185 226 289 370 565 578 629 1130 1258 1445 1921 2890 3145 3842 4181 6290 8362 9605 10693 19210 20905 21386 32657 41810 53465 65314 71077 106930 142154 163285 326570 355385 710770 1208309 2416618 6041545 12083090