Search a number
-
+
12405240 = 23325172027
BaseRepresentation
bin101111010100…
…100111111000
3212100020210100
4233110213320
511133431430
61121515400
7210304611
oct57244770
925306710
1012405240
117003271
1241a2b60
1327545a3
14190cc08
151150960
hexbd49f8

12405240 has 96 divisors (see below), whose sum is σ = 42709680. Its totient is φ = 3111936.

The previous prime is 12405221. The next prime is 12405269. The reversal of 12405240 is 4250421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5107 + ... + 7133.

Almost surely, 212405240 is an apocalyptic number.

12405240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12405240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21354840).

12405240 is an abundant number, since it is smaller than the sum of its proper divisors (30304440).

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

12405240 is a wasteful number, since it uses less digits than its factorization.

12405240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 12405240 is about 3522.1073237481. The cubic root of 12405240 is about 231.4915042123.

Adding to 12405240 its reverse (4250421), we get a palindrome (16655661).

The spelling of 12405240 in words is "twelve million, four hundred five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2027 2040 3060 4054 6081 6120 8108 10135 12162 16216 18243 20270 24324 30405 34459 36486 40540 48648 60810 68918 72972 81080 91215 103377 121620 137836 145944 172295 182430 206754 243240 275672 310131 344590 364860 413508 516885 620262 689180 729720 827016 1033770 1240524 1378360 1550655 2067540 2481048 3101310 4135080 6202620 12405240