Search a number
-
+
20430657 = 331358207
BaseRepresentation
bin100110111101…
…1111101000001
31102102222121000
41031323331001
520212240112
62005522213
7335441412
oct115737501
942388530
1020430657
1110594945
126a13369
134304460
1429db809
151bd87dc
hex137bf41

20430657 has 16 divisors (see below), whose sum is σ = 32596480. Its totient is φ = 12572496.

The previous prime is 20430653. The next prime is 20430659. The reversal of 20430657 is 75603402.

It is a happy number.

20430657 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 0 + 657 = 666.

It is not a de Polignac number, because 20430657 - 22 = 20430653 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20430657.

It is not an unprimeable number, because it can be changed into a prime (20430653) 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, 28753 + ... + 29454.

It is an arithmetic number, because the mean of its divisors is an integer number (2037280).

Almost surely, 220430657 is an apocalyptic number.

20430657 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

20430657 is a deficient number, since it is larger than the sum of its proper divisors (12165823).

20430657 is a wasteful number, since it uses less digits than its factorization.

20430657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58229 (or 58223 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 20430657 is about 4520.0284291141. The cubic root of 20430657 is about 273.3762473106.

The spelling of 20430657 in words is "twenty million, four hundred thirty thousand, six hundred fifty-seven".

Divisors: 1 3 9 13 27 39 117 351 58207 174621 523863 756691 1571589 2270073 6810219 20430657