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21412560 = 2435136863
BaseRepresentation
bin101000110101…
…1101011010000
31111021212111210
41101223223100
520440200220
62042540120
7350001201
oct121535320
944255453
1021412560
11110a5634
127207640
134589370
142bb55a8
151d2e6e0
hex146bad0

21412560 has 80 divisors (see below), whose sum is σ = 71495424. Its totient is φ = 5270016.

The previous prime is 21412549. The next prime is 21412561. The reversal of 21412560 is 6521412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21412561) 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, 312 + ... + 6551.

Almost surely, 221412560 is an apocalyptic number.

21412560 is a gapful number since it is divisible by the number (20) 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 21412560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35747712).

21412560 is an abundant number, since it is smaller than the sum of its proper divisors (50082864).

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

21412560 is a wasteful number, since it uses less digits than its factorization.

21412560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6892 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 21412560 is about 4627.3707437377. The cubic root of 21412560 is about 277.6874149928.

Adding to 21412560 its reverse (6521412), we get a palindrome (27933972).

It can be divided in two parts, 214125 and 60, that added together give a triangular number (214185 = T654).

The spelling of 21412560 in words is "twenty-one million, four hundred twelve thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 6863 13726 20589 27452 34315 41178 54904 68630 82356 89219 102945 109808 137260 164712 178438 205890 267657 274520 329424 356876 411780 446095 535314 549040 713752 823560 892190 1070628 1338285 1427504 1647120 1784380 2141256 2676570 3568760 4282512 5353140 7137520 10706280 21412560