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21640240 = 2451923619
BaseRepresentation
bin101001010001…
…1010000110000
31111201102211101
41102203100300
521014441430
62051454144
7351640036
oct122432060
944642741
1021640240
11112406a6
1272b7354
134638b9b
142c34556
151d76dca
hex14a3430

21640240 has 80 divisors (see below), whose sum is σ = 55353600. Its totient is φ = 7831296.

The previous prime is 21640237. The next prime is 21640249. The reversal of 21640240 is 4204612.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (21640249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34651 + ... + 35269.

It is an arithmetic number, because the mean of its divisors is an integer number (691920).

Almost surely, 221640240 is an apocalyptic number.

21640240 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 21640240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27676800).

21640240 is an abundant number, since it is smaller than the sum of its proper divisors (33713360).

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

21640240 is a wasteful number, since it uses less digits than its factorization.

21640240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 21640240 is about 4651.9071357885. The cubic root of 21640240 is about 278.6681648946.

Adding to 21640240 its reverse (4204612), we get a palindrome (25844852).

The spelling of 21640240 in words is "twenty-one million, six hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 76 80 92 95 115 152 184 190 230 304 368 380 437 460 619 760 874 920 1238 1520 1748 1840 2185 2476 3095 3496 4370 4952 6190 6992 8740 9904 11761 12380 14237 17480 23522 24760 28474 34960 47044 49520 56948 58805 71185 94088 113896 117610 142370 188176 227792 235220 270503 284740 470440 541006 569480 940880 1082012 1138960 1352515 2164024 2705030 4328048 5410060 10820120 21640240