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21309480 = 233456577
BaseRepresentation
bin101000101001…
…0100000101000
31111002122010000
41101102200220
520423400410
62040423000
7346061523
oct121224050
944078100
1021309480
1111035145
127177a60
13455147a
142b89bba
151d0ddc0
hex1452828

21309480 has 80 divisors (see below), whose sum is σ = 71634420. Its totient is φ = 5681664.

The previous prime is 21309437. The next prime is 21309487. The reversal of 21309480 is 8490312.

It can be written as a sum of positive squares in 2 ways, for example, as 19766916 + 1542564 = 4446^2 + 1242^2 .

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 (21309487) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49 + ... + 6528.

Almost surely, 221309480 is an apocalyptic number.

21309480 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 21309480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35817210).

21309480 is an abundant number, since it is smaller than the sum of its proper divisors (50324940).

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

21309480 is a wasteful number, since it uses less digits than its factorization.

21309480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6600 (or 6587 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 21309480 is about 4616.2192322289. The cubic root of 21309480 is about 277.2411025800.

Adding to 21309480 its reverse (8490312), we get a palindrome (29799792).

The spelling of 21309480 in words is "twenty-one million, three hundred nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 6577 13154 19731 26308 32885 39462 52616 59193 65770 78924 98655 118386 131540 157848 177579 197310 236772 263080 295965 355158 394620 473544 532737 591930 710316 789240 887895 1065474 1183860 1420632 1775790 2130948 2367720 2663685 3551580 4261896 5327370 7103160 10654740 21309480