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21412080 = 2433523431
BaseRepresentation
bin101000110101…
…1100011110000
31111021211212000
41101223203300
520440141310
62042534000
7346666614
oct121534360
944254760
1021412080
11110a5238
127207300
134589091
142bb5344
151d2e4c0
hex146b8f0

21412080 has 160 divisors (see below), whose sum is σ = 77137920. Its totient is φ = 5448960.

The previous prime is 21412049. The next prime is 21412093. The reversal of 21412080 is 8021412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49465 + ... + 49895.

It is an arithmetic number, because the mean of its divisors is an integer number (482112).

Almost surely, 221412080 is an apocalyptic number.

21412080 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 21412080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38568960).

21412080 is an abundant number, since it is smaller than the sum of its proper divisors (55725840).

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

21412080 is a wasteful number, since it uses less digits than its factorization.

21412080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 21412080 is about 4627.3188781410. The cubic root of 21412080 is about 277.6853400275.

Adding to 21412080 its reverse (8021412), we get a palindrome (29433492).

The spelling of 21412080 in words is "twenty-one million, four hundred twelve thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 431 432 460 540 552 621 690 720 828 862 920 1035 1080 1104 1242 1293 1380 1656 1724 1840 2070 2155 2160 2484 2586 2760 3105 3312 3448 3879 4140 4310 4968 5172 5520 6210 6465 6896 7758 8280 8620 9913 9936 10344 11637 12420 12930 15516 16560 17240 19395 19826 20688 23274 24840 25860 29739 31032 34480 38790 39652 46548 49565 49680 51720 58185 59478 62064 77580 79304 89217 93096 99130 103440 116370 118956 148695 155160 158608 178434 186192 198260 232740 237912 267651 297390 310320 356868 396520 446085 465480 475824 535302 594780 713736 793040 892170 930960 1070604 1189560 1338255 1427472 1784340 2141208 2379120 2676510 3568680 4282416 5353020 7137360 10706040 21412080