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12219840 = 263254243
BaseRepresentation
bin101110100111…
…010111000000
3211222211110200
4232213113000
511112013330
61113525200
7205603233
oct56472700
924884420
1012219840
116996a46
124113800
1326bb099
1418a141a
151115a60
hexba75c0

12219840 has 84 divisors (see below), whose sum is σ = 42041064. Its totient is φ = 3257856.

The previous prime is 12219829. The next prime is 12219871. The reversal of 12219840 is 4891221.

12219840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 759 + ... + 5001.

Almost surely, 212219840 is an apocalyptic number.

12219840 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 12219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21020532).

12219840 is an abundant number, since it is smaller than the sum of its proper divisors (29821224).

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

12219840 is a wasteful number, since it uses less digits than its factorization.

12219840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266 (or 4253 counting only the distinct ones).

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

The square root of 12219840 is about 3495.6887733321. The cubic root of 12219840 is about 230.3324744245.

The spelling of 12219840 in words is "twelve million, two hundred nineteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 4243 8486 12729 16972 21215 25458 33944 38187 42430 50916 63645 67888 76374 84860 101832 127290 135776 152748 169720 190935 203664 254580 271552 305496 339440 381870 407328 509160 610992 678880 763740 814656 1018320 1221984 1357760 1527480 2036640 2443968 3054960 4073280 6109920 12219840