Search a number
-
+
12215840 = 255713839
BaseRepresentation
bin101110100110…
…011000100000
3211222121222112
4232212120200
511111401330
61113454452
7205555460
oct56463040
924877875
1012215840
116993a3a
124111428
1326b9310
14189dba0
151114795
hexba6620

12215840 has 96 divisors (see below), whose sum is σ = 35562240. Its totient is φ = 3861504.

The previous prime is 12215831. The next prime is 12215851. The reversal of 12215840 is 4851221.

12215840 is nontrivially palindromic in base 3.

It is a nialpdrome in base 16.

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, 14141 + ... + 14979.

It is an arithmetic number, because the mean of its divisors is an integer number (370440).

Almost surely, 212215840 is an apocalyptic number.

12215840 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 12215840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781120).

12215840 is an abundant number, since it is smaller than the sum of its proper divisors (23346400).

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

12215840 is a wasteful number, since it uses less digits than its factorization.

12215840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 12215840 is about 3495.1165931911. The cubic root of 12215840 is about 230.3073396043.

The spelling of 12215840 in words is "twelve million, two hundred fifteen thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 839 910 1040 1120 1456 1678 1820 2080 2912 3356 3640 4195 5873 6712 7280 8390 10907 11746 13424 14560 16780 21814 23492 26848 29365 33560 43628 46984 54535 58730 67120 76349 87256 93968 109070 117460 134240 152698 174512 187936 218140 234920 305396 349024 381745 436280 469840 610792 763490 872560 939680 1221584 1526980 1745120 2443168 3053960 6107920 12215840