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20729460 = 22351720323
BaseRepresentation
bin100111100010…
…0111001110100
31110000011110210
41033010321310
520301320320
62020145420
7341124513
oct117047164
943004423
1020729460
1110779394
126b38270
1343aa46b
142a7867a
151c470e0
hex13c4e74

20729460 has 48 divisors (see below), whose sum is σ = 61459776. Its totient is φ = 5202432.

The previous prime is 20729419. The next prime is 20729479. The reversal of 20729460 is 6492702.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 9142 + ... + 11181.

It is an arithmetic number, because the mean of its divisors is an integer number (1280412).

Almost surely, 220729460 is an apocalyptic number.

20729460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20729460 is an abundant number, since it is smaller than the sum of its proper divisors (40730316).

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

20729460 is a wasteful number, since it uses less digits than its factorization.

20729460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20352 (or 20350 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 20729460 is about 4552.9616734605. The cubic root of 20729460 is about 274.7025323396.

The spelling of 20729460 in words is "twenty million, seven hundred twenty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 20323 40646 60969 81292 101615 121938 203230 243876 304845 345491 406460 609690 690982 1036473 1219380 1381964 1727455 2072946 3454910 4145892 5182365 6909820 10364730 20729460