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12411420 = 22357291019
BaseRepresentation
bin101111010110…
…001000011100
3212100120021020
4233112020130
511134131140
61122004140
7210331620
oct57261034
925316236
1012411420
11700797a
1241a6650
132757348
141911180
1511526d0
hexbd621c

12411420 has 96 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 2736384.

The previous prime is 12411419. The next prime is 12411433. The reversal of 12411420 is 2411421.

12411420 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

12411420 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 12411420.

It is a congruent number.

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, 11671 + ... + 12689.

It is an arithmetic number, because the mean of its divisors is an integer number (428400).

Almost surely, 212411420 is an apocalyptic number.

12411420 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 12411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

12411420 is an abundant number, since it is smaller than the sum of its proper divisors (28714980).

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

12411420 is a wasteful number, since it uses less digits than its factorization.

12411420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 12411420 is about 3522.9845301960. The cubic root of 12411420 is about 231.5299390457.

Adding to 12411420 its reverse (2411421), we get a palindrome (14822841).

Subtracting from 12411420 its reverse (2411421), we obtain a palindrome (9999999).

The spelling of 12411420 in words is "twelve million, four hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 348 406 420 435 580 609 812 870 1015 1019 1218 1740 2030 2038 2436 3045 3057 4060 4076 5095 6090 6114 7133 10190 12180 12228 14266 15285 20380 21399 28532 29551 30570 35665 42798 59102 61140 71330 85596 88653 106995 118204 142660 147755 177306 206857 213990 295510 354612 413714 427980 443265 591020 620571 827428 886530 1034285 1241142 1773060 2068570 2482284 3102855 4137140 6205710 12411420