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21275460 = 2234523571
BaseRepresentation
bin101000100101…
…0001101000100
31111000220110000
41101022031010
520421303320
62040001300
7345560403
oct121121504
944026400
1021275460
1111011628
127160230
13453bb3b
142b7b63a
151d03c90
hex144a344

21275460 has 120 divisors (see below), whose sum is σ = 69765696. Its totient is φ = 5417280.

The previous prime is 21275399. The next prime is 21275461. The reversal of 21275460 is 6457212.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21275461) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36975 + ... + 37545.

Almost surely, 221275460 is an apocalyptic number.

21275460 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 21275460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34882848).

21275460 is an abundant number, since it is smaller than the sum of its proper divisors (48490236).

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

21275460 is a wasteful number, since it uses less digits than its factorization.

21275460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 21275460 is about 4612.5329267117. The cubic root of 21275460 is about 277.0934880607.

The spelling of 21275460 in words is "twenty-one million, two hundred seventy-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 270 276 324 345 405 414 460 540 571 621 690 810 828 1035 1142 1242 1380 1620 1713 1863 2070 2284 2484 2855 3105 3426 3726 4140 5139 5710 6210 6852 7452 8565 9315 10278 11420 12420 13133 15417 17130 18630 20556 25695 26266 30834 34260 37260 39399 46251 51390 52532 61668 65665 77085 78798 92502 102780 118197 131330 154170 157596 185004 196995 231255 236394 262660 308340 354591 393990 462510 472788 590985 709182 787980 925020 1063773 1181970 1418364 1772955 2127546 2363940 3545910 4255092 5318865 7091820 10637730 21275460