Search a number
-
+
20064024 = 233510321
BaseRepresentation
bin100110010001…
…0011100011000
31101202100200000
41030202130120
520114022044
61554013000
7332353461
oct114423430
941670600
1020064024
1110364442
126877160
134206606
142943d68
151b64d69
hex1322718

20064024 has 48 divisors (see below), whose sum is σ = 56358120. Its totient is φ = 6687360.

The previous prime is 20064017. The next prime is 20064041. The reversal of 20064024 is 42046002.

20064024 is a `hidden beast` number, since 2 + 0 + 0 + 640 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20063988 and 20064006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3217 + ... + 7104.

Almost surely, 220064024 is an apocalyptic number.

20064024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20064024 is an abundant number, since it is smaller than the sum of its proper divisors (36294096).

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

20064024 is a wasteful number, since it uses less digits than its factorization.

20064024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10342 (or 10326 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20064024 is about 4479.2883363320. The cubic root of 20064024 is about 271.7310995917.

The spelling of 20064024 in words is "twenty million, sixty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 10321 20642 30963 41284 61926 82568 92889 123852 185778 247704 278667 371556 557334 743112 836001 1114668 1672002 2229336 2508003 3344004 5016006 6688008 10032012 20064024