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12918420 = 2233547509
BaseRepresentation
bin110001010001…
…111010010100
3220022022202000
4301101322110
511301342140
61140515300
7214543014
oct61217224
926268660
1012918420
117323889
1243abb30
1328a4048
141a03c44
151202a30
hexc51e94

12918420 has 96 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 3364992.

The previous prime is 12918391. The next prime is 12918421. The reversal of 12918420 is 2481921.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12918421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25126 + ... + 25634.

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

Almost surely, 212918420 is an apocalyptic number.

12918420 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 12918420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

12918420 is an abundant number, since it is smaller than the sum of its proper divisors (28207980).

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

12918420 is a wasteful number, since it uses less digits than its factorization.

12918420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 566 counting only the distinct ones).

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

The square root of 12918420 is about 3594.2203605233. The cubic root of 12918420 is about 234.6405853346.

The spelling of 12918420 in words is "twelve million, nine hundred eighteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 509 540 564 705 846 940 1018 1269 1410 1527 1692 2036 2115 2538 2545 2820 3054 4230 4581 5076 5090 6108 6345 7635 8460 9162 10180 12690 13743 15270 18324 22905 23923 25380 27486 30540 45810 47846 54972 68715 71769 91620 95692 119615 137430 143538 215307 239230 274860 287076 358845 430614 478460 645921 717690 861228 1076535 1291842 1435380 2153070 2583684 3229605 4306140 6459210 12918420