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20682240 = 29352693
BaseRepresentation
bin100111011100…
…1011000000000
31102220202200220
41032321120000
520243312430
62015143040
7340540035
oct116713000
942822626
1020682240
1110746967
126b14a80
134391b17
142a6538c
151c38110
hex13b9600

20682240 has 80 divisors (see below), whose sum is σ = 66143088. Its totient is φ = 5513216.

The previous prime is 20682199. The next prime is 20682247. The reversal of 20682240 is 4228602.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20682240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20682247) 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, 6334 + ... + 9026.

Almost surely, 220682240 is an apocalyptic number.

20682240 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 20682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33071544).

20682240 is an abundant number, since it is smaller than the sum of its proper divisors (45460848).

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

20682240 is an equidigital number, since it uses as much as digits as its factorization.

20682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 20682240 is about 4547.7730814103. The cubic root of 20682240 is about 274.4937905238.

The spelling of 20682240 in words is "twenty million, six hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 2693 3840 5386 7680 8079 10772 13465 16158 21544 26930 32316 40395 43088 53860 64632 80790 86176 107720 129264 161580 172352 215440 258528 323160 344704 430880 517056 646320 689408 861760 1034112 1292640 1378816 1723520 2068224 2585280 3447040 4136448 5170560 6894080 10341120 20682240