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12281490 = 2335133499
BaseRepresentation
bin101110110110…
…011010010010
3212002222001000
4232312122102
511121001430
61115122430
7206251044
oct56663222
925088030
1012281490
116a292a1
124143416
132710170
1418b9a94
151128e60
hexbb6692

12281490 has 64 divisors (see below), whose sum is σ = 35280000. Its totient is φ = 3022272.

The previous prime is 12281483. The next prime is 12281519. The reversal of 12281490 is 9418221.

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

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 1761 + ... + 5259.

It is an arithmetic number, because the mean of its divisors is an integer number (551250).

Almost surely, 212281490 is an apocalyptic number.

12281490 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 12281490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17640000).

12281490 is an abundant number, since it is smaller than the sum of its proper divisors (22998510).

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

12281490 is a wasteful number, since it uses less digits than its factorization.

12281490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12281490 is about 3504.4956841178. The cubic root of 12281490 is about 230.7191729886.

The spelling of 12281490 in words is "twelve million, two hundred eighty-one thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3499 3510 6998 10497 17495 20994 31491 34990 45487 52485 62982 90974 94473 104970 136461 157455 188946 227435 272922 314910 409383 454870 472365 682305 818766 944730 1228149 1364610 2046915 2456298 4093830 6140745 12281490