Search a number
-
+
12762090 = 2335114297
BaseRepresentation
bin110000101011…
…101111101010
3220000101022000
4300223233222
511231341330
61133311430
7213322155
oct60535752
926011260
1012762090
117227390
124335576
13284ab43
1419a2c9c
1511c1560
hexc2bbea

12762090 has 64 divisors (see below), whose sum is σ = 37134720. Its totient is φ = 3093120.

The previous prime is 12762089. The next prime is 12762119. The reversal of 12762090 is 9026721.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822 + ... + 5118.

It is an arithmetic number, because the mean of its divisors is an integer number (580230).

Almost surely, 212762090 is an apocalyptic number.

12762090 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 12762090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18567360).

12762090 is an abundant number, since it is smaller than the sum of its proper divisors (24372630).

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

12762090 is a wasteful number, since it uses less digits than its factorization.

12762090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 12762090 is about 3572.4067517571. The cubic root of 12762090 is about 233.6902542072.

The spelling of 12762090 in words is "twelve million, seven hundred sixty-two thousand, ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 4297 8594 12891 21485 25782 38673 42970 47267 64455 77346 94534 116019 128910 141801 193365 232038 236335 283602 386730 425403 472670 580095 709005 850806 1160190 1276209 1418010 2127015 2552418 4254030 6381045 12762090