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21434240 = 275107313
BaseRepresentation
bin101000111000…
…0111110000000
31111022222020202
41101300332000
520441343430
62043224332
7350121332
oct121607600
944288222
1021434240
111110a953
1272180a8
1345961a9
142bbd452
151d35d45
hex1470f80

21434240 has 64 divisors (see below), whose sum is σ = 51885360. Its totient is φ = 8466432.

The previous prime is 21434233. The next prime is 21434249. The reversal of 21434240 is 4243412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21434249) 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, 68324 + ... + 68636.

Almost surely, 221434240 is an apocalyptic number.

21434240 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 21434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25942680).

21434240 is an abundant number, since it is smaller than the sum of its proper divisors (30451120).

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

21434240 is a wasteful number, since it uses less digits than its factorization.

21434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 21434240 is about 4629.7127340689. The cubic root of 21434240 is about 277.7811019454.

Adding to 21434240 its reverse (4243412), we get a palindrome (25677652).

The spelling of 21434240 in words is "twenty-one million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 128 160 214 313 320 428 535 626 640 856 1070 1252 1565 1712 2140 2504 3130 3424 4280 5008 6260 6848 8560 10016 12520 13696 17120 20032 25040 33491 34240 40064 50080 66982 68480 100160 133964 167455 200320 267928 334910 535856 669820 1071712 1339640 2143424 2679280 4286848 5358560 10717120 21434240