Search a number
-
+
20157066 = 233537043
BaseRepresentation
bin100110011100…
…1001010001010
31101221002022000
41030321022022
520130011231
62000011430
7333221646
oct114711212
941832260
1020157066
1110418336
126900b76
134239a77
142969c26
151b826e6
hex133928a

20157066 has 32 divisors (see below), whose sum is σ = 45645120. Its totient is φ = 6591312.

The previous prime is 20157061. The next prime is 20157077. The reversal of 20157066 is 66075102.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20157061) by changing a digit.

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, 660 + ... + 6383.

It is an arithmetic number, because the mean of its divisors is an integer number (1426410).

Almost surely, 220157066 is an apocalyptic number.

20157066 is an abundant number, since it is smaller than the sum of its proper divisors (25488054).

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

20157066 is a wasteful number, since it uses less digits than its factorization.

20157066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7107 (or 7101 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 20157066 is about 4489.6621253720. The cubic root of 20157066 is about 272.1504808188.

The spelling of 20157066 in words is "twenty million, one hundred fifty-seven thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1431 2862 7043 14086 21129 42258 63387 126774 190161 373279 380322 746558 1119837 2239674 3359511 6719022 10078533 20157066