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12840440 = 2351723821
BaseRepresentation
bin110000111110…
…110111111000
3220011100202212
4300332313320
511241343230
61135114252
7214066454
oct60766770
926140685
1012840440
117280238
124372988
1328776c2
1419c3664
1511d9895
hexc3edf8

12840440 has 64 divisors (see below), whose sum is σ = 31959360. Its totient is φ = 4618240.

The previous prime is 12840427. The next prime is 12840461. The reversal of 12840440 is 4404821.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15230 + ... + 16050.

It is an arithmetic number, because the mean of its divisors is an integer number (499365).

Almost surely, 212840440 is an apocalyptic number.

12840440 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 12840440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15979680).

12840440 is an abundant number, since it is smaller than the sum of its proper divisors (19118920).

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

12840440 is a wasteful number, since it uses less digits than its factorization.

12840440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 12840440 is about 3583.3559689208. The cubic root of 12840440 is about 234.1675085701.

The spelling of 12840440 in words is "twelve million, eight hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 340 391 460 680 782 821 920 1564 1642 1955 3128 3284 3910 4105 6568 7820 8210 13957 15640 16420 18883 27914 32840 37766 55828 69785 75532 94415 111656 139570 151064 188830 279140 321011 377660 558280 642022 755320 1284044 1605055 2568088 3210110 6420220 12840440