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12618420 = 22351789139
BaseRepresentation
bin110000001000…
…101010110100
3212202002012220
4300020222310
511212242140
61130242340
7212153253
oct60105264
925662186
1012618420
117139451
1242863b0
1327ca629
14196679a
151193bd0
hexc08ab4

12618420 has 96 divisors (see below), whose sum is σ = 38102400. Its totient is φ = 3108864.

The previous prime is 12618377. The next prime is 12618449. The reversal of 12618420 is 2481621.

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, 90711 + ... + 90849.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 212618420 is an apocalyptic number.

12618420 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 12618420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051200).

12618420 is an abundant number, since it is smaller than the sum of its proper divisors (25483980).

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

12618420 is a wasteful number, since it uses less digits than its factorization.

12618420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12618420 is about 3552.2415458412. The cubic root of 12618420 is about 232.8100153932.

The spelling of 12618420 in words is "twelve million, six hundred eighteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 89 102 139 170 178 204 255 267 278 340 356 417 445 510 534 556 695 834 890 1020 1068 1335 1390 1513 1668 1780 2085 2363 2670 2780 3026 4170 4539 4726 5340 6052 7089 7565 8340 9078 9452 11815 12371 14178 15130 18156 22695 23630 24742 28356 30260 35445 37113 45390 47260 49484 61855 70890 74226 90780 123710 141780 148452 185565 210307 247420 371130 420614 630921 742260 841228 1051535 1261842 2103070 2523684 3154605 4206140 6309210 12618420