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20281240 = 2357113641
BaseRepresentation
bin100110101011…
…1011110011000
31102011101122001
41031113132120
520142444430
62002410344
7334246660
oct115273630
942141561
1020281240
11104a2661
1269609b4
134281445
14299d1a0
151ba93ca
hex1357798

20281240 has 64 divisors (see below), whose sum is σ = 52695360. Its totient is φ = 6881280.

The previous prime is 20281229. The next prime is 20281241. The reversal of 20281240 is 4218202.

It is a super-2 number, since 2×202812402 = 822657391875200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20281241) 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, 31320 + ... + 31960.

It is an arithmetic number, because the mean of its divisors is an integer number (823365).

Almost surely, 220281240 is an apocalyptic number.

20281240 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 20281240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26347680).

20281240 is an abundant number, since it is smaller than the sum of its proper divisors (32414120).

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

20281240 is a wasteful number, since it uses less digits than its factorization.

20281240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 20281240 is about 4503.4697734081. The cubic root of 20281240 is about 272.7081819634.

Adding to 20281240 its reverse (4218202), we get a palindrome (24499442).

The spelling of 20281240 in words is "twenty million, two hundred eighty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 280 452 565 641 791 904 1130 1282 1582 2260 2564 3164 3205 3955 4487 4520 5128 6328 6410 7910 8974 12820 15820 17948 22435 25640 31640 35896 44870 72433 89740 144866 179480 289732 362165 507031 579464 724330 1014062 1448660 2028124 2535155 2897320 4056248 5070310 10140620 20281240