Search a number
-
+
123289290 = 2345198011
BaseRepresentation
bin1110101100100…
…11111011001010
322120222202010000
413112103323022
5223030224130
620122303430
73024640665
oct726237312
9276882100
10123289290
1163659083
1235357b76
131c709157
14125346dc
15ac55260
hex7593eca

123289290 has 80 divisors (see below), whose sum is σ = 349002720. Its totient is φ = 31142880.

The previous prime is 123289277. The next prime is 123289301. The reversal of 123289290 is 92982321.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11385 + ... + 19395.

It is an arithmetic number, because the mean of its divisors is an integer number (4362534).

Almost surely, 2123289290 is an apocalyptic number.

123289290 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 123289290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174501360).

123289290 is an abundant number, since it is smaller than the sum of its proper divisors (225713430).

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

123289290 is a wasteful number, since it uses less digits than its factorization.

123289290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8049 (or 8040 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 123289290 is about 11103.5710471902. The cubic root of 123289290 is about 497.7085680547.

The spelling of 123289290 in words is "one hundred twenty-three million, two hundred eighty-nine thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1710 2565 3078 5130 7695 8011 15390 16022 24033 40055 48066 72099 80110 120165 144198 152209 216297 240330 304418 360495 432594 456627 648891 720990 761045 913254 1081485 1297782 1369881 1522090 2162970 2283135 2739762 3244455 4109643 4566270 6488910 6849405 8219286 12328929 13698810 20548215 24657858 41096430 61644645 123289290