Search a number
-
+
20657484 = 22331910067
BaseRepresentation
bin100111011001…
…1010101001100
31102212111202000
41032303111030
520242014414
62014432300
7340404621
oct116632514
942774660
1020657484
111072a301
126b02690
134383783
142a5a348
151c30b09
hex13b354c

20657484 has 48 divisors (see below), whose sum is σ = 56380800. Its totient is φ = 6522768.

The previous prime is 20657477. The next prime is 20657489. The reversal of 20657484 is 48475602.

20657484 is a `hidden beast` number, since 2 + 0 + 6 + 574 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20657489) 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, 2982 + ... + 7085.

It is an arithmetic number, because the mean of its divisors is an integer number (1174600).

Almost surely, 220657484 is an apocalyptic number.

It is an amenable number.

20657484 is an abundant number, since it is smaller than the sum of its proper divisors (35723316).

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

20657484 is a wasteful number, since it uses less digits than its factorization.

20657484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10099 (or 10091 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 20657484 is about 4545.0504947690. The cubic root of 20657484 is about 274.3842266119.

The spelling of 20657484 in words is "twenty million, six hundred fifty-seven thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 10067 20134 30201 40268 60402 90603 120804 181206 191273 271809 362412 382546 543618 573819 765092 1087236 1147638 1721457 2295276 3442914 5164371 6885828 10328742 20657484