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20126840 = 23523131167
BaseRepresentation
bin100110011000…
…1110001111000
31101212112211112
41030301301320
520123024330
61555215452
7333034556
oct114616170
941775745
1020126840
11103a7658
1268a7588
134229096
14295cbd6
151b78795
hex1331c78

20126840 has 64 divisors (see below), whose sum is σ = 47900160. Its totient is φ = 7596160.

The previous prime is 20126837. The next prime is 20126879. The reversal of 20126840 is 4862102.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120437 + ... + 120603.

It is an arithmetic number, because the mean of its divisors is an integer number (748440).

Almost surely, 220126840 is an apocalyptic number.

20126840 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 20126840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23950080).

20126840 is an abundant number, since it is smaller than the sum of its proper divisors (27773320).

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

20126840 is a wasteful number, since it uses less digits than its factorization.

20126840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 20126840 is about 4486.2946849265. The cubic root of 20126840 is about 272.0143807276.

Adding to 20126840 its reverse (4862102), we get a palindrome (24988942).

The spelling of 20126840 in words is "twenty million, one hundred twenty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 131 167 184 230 262 334 460 524 655 668 835 920 1048 1310 1336 1670 2620 3013 3340 3841 5240 6026 6680 7682 12052 15065 15364 19205 21877 24104 30130 30728 38410 43754 60260 76820 87508 109385 120520 153640 175016 218770 437540 503171 875080 1006342 2012684 2515855 4025368 5031710 10063420 20126840