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20406460 = 22517471277
BaseRepresentation
bin100110111011…
…0000010111100
31102101202101211
41031312002330
520211001320
62005214204
7335311024
oct115660274
942352354
1020406460
1110578748
126a01364
1342c6439
1429d2a84
151bd155a
hex13760bc

20406460 has 48 divisors (see below), whose sum is σ = 46376064. Its totient is φ = 7513088.

The previous prime is 20406439. The next prime is 20406461. The reversal of 20406460 is 6460402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20406461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15342 + ... + 16618.

It is an arithmetic number, because the mean of its divisors is an integer number (966168).

Almost surely, 220406460 is an apocalyptic number.

20406460 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 20406460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23188032).

20406460 is an abundant number, since it is smaller than the sum of its proper divisors (25969604).

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

20406460 is a wasteful number, since it uses less digits than its factorization.

20406460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 20406460 is about 4517.3509936687. The cubic root of 20406460 is about 273.2682805066.

Adding to 20406460 its reverse (6460402), we get a palindrome (26866862).

The spelling of 20406460 in words is "twenty million, four hundred six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 170 188 235 340 470 799 940 1277 1598 2554 3196 3995 5108 6385 7990 12770 15980 21709 25540 43418 60019 86836 108545 120038 217090 240076 300095 434180 600190 1020323 1200380 2040646 4081292 5101615 10203230 20406460