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21480640 = 265193533
BaseRepresentation
bin101000111110…
…0010011000000
31111102022220021
41101330103000
520444340030
62044223224
7350403526
oct121742300
944368807
1021480640
11111417a5
12723ab14
1345b134c
142bd2316
151d4497a
hex147c4c0

21480640 has 56 divisors (see below), whose sum is σ = 53858160. Its totient is φ = 8137728.

The previous prime is 21480637. The next prime is 21480647. The reversal of 21480640 is 4608412.

It is a super-2 number, since 2×214806402 = 922835789619200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21480647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4314 + ... + 7846.

Almost surely, 221480640 is an apocalyptic number.

21480640 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 21480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26929080).

21480640 is an abundant number, since it is smaller than the sum of its proper divisors (32377520).

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

21480640 is a wasteful number, since it uses less digits than its factorization.

21480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 21480640 is about 4634.7211350846. The cubic root of 21480640 is about 277.9814006845.

The spelling of 21480640 in words is "twenty-one million, four hundred eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3040 3533 6080 7066 14132 17665 28264 35330 56528 67127 70660 113056 134254 141320 226112 268508 282640 335635 537016 565280 671270 1074032 1130560 1342540 2148064 2685080 4296128 5370160 10740320 21480640