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20460496 = 247317183
BaseRepresentation
bin100111000001…
…1001111010000
31102111111112011
41032003033100
520214213441
62010312304
7335624410
oct116031720
942444464
1020460496
1110605301
126a28694
134314c04
142a08640
151be2581
hex13833d0

20460496 has 80 divisors (see below), whose sum is σ = 47996928. Its totient is φ = 8265600.

The previous prime is 20460467. The next prime is 20460523. The reversal of 20460496 is 69406402.

20460496 = T1 + T2 + ... + T496.

20460496 is nontrivially palindromic in base 3.

20460496 is a nontrivial binomial coefficient, being equal to C(498, 3).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is the 496-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246471 + ... + 246553.

Almost surely, 220460496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20460496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998464).

20460496 is an abundant number, since it is smaller than the sum of its proper divisors (27536432).

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

20460496 is a wasteful number, since it uses less digits than its factorization.

20460496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 20460496 is about 4523.3279783805. The cubic root of 20460496 is about 273.5092713542.

Adding to 20460496 its reverse (69406402), we get a palindrome (89866898).

The spelling of 20460496 in words is "twenty million, four hundred sixty thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 71 83 112 124 142 166 217 248 284 332 434 496 497 568 581 664 868 994 1136 1162 1328 1736 1988 2201 2324 2573 3472 3976 4402 4648 5146 5893 7952 8804 9296 10292 11786 15407 17608 18011 20584 23572 30814 35216 36022 41168 41251 47144 61628 72044 82502 94288 123256 144088 165004 182683 246512 288176 330008 365366 660016 730732 1278781 1461464 2557562 2922928 5115124 10230248 20460496