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12861480 = 2335195641
BaseRepresentation
bin110001000100…
…000000101000
3220012102122010
4301010000220
511243031410
61135355520
7214215012
oct61040050
926172563
1012861480
117295025
124382ba0
132884158
1419cb1b2
1511e0c20
hexc44028

12861480 has 64 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 3248640.

The previous prime is 12861467. The next prime is 12861481. The reversal of 12861480 is 8416821.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12861481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 541 + ... + 5100.

It is an arithmetic number, because the mean of its divisors is an integer number (634725).

Almost surely, 212861480 is an apocalyptic number.

12861480 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 12861480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

12861480 is an abundant number, since it is smaller than the sum of its proper divisors (27760920).

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

12861480 is a wasteful number, since it uses less digits than its factorization.

12861480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5674 (or 5670 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 12861480 is about 3586.2905626845. The cubic root of 12861480 is about 234.2953389718.

The spelling of 12861480 in words is "twelve million, eight hundred sixty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 5641 11282 16923 22564 28205 33846 45128 56410 67692 84615 107179 112820 135384 169230 214358 225640 321537 338460 428716 535895 643074 676920 857432 1071790 1286148 1607685 2143580 2572296 3215370 4287160 6430740 12861480