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663232020 = 2235111975101
BaseRepresentation
bin100111100010000…
…001111000010100
31201012222200021220
4213202001320110
52324241411040
6145451210340
722302244023
oct4742017024
91635880256
10663232020
11310417040
121661469b0
13a75379a9
14641268ba
153d35d2d0
hex27881e14

663232020 has 96 divisors (see below), whose sum is σ = 2036555136. Its totient is φ = 159936000.

The previous prime is 663232019. The next prime is 663232027. The reversal of 663232020 is 20232366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663232027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127470 + ... + 132570.

It is an arithmetic number, because the mean of its divisors is an integer number (21214116).

Almost surely, 2663232020 is an apocalyptic number.

663232020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018277568).

663232020 is an abundant number, since it is smaller than the sum of its proper divisors (1373323116).

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

663232020 is a wasteful number, since it uses less digits than its factorization.

663232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 663232020 is about 25753.2914401247. The cubic root of 663232020 is about 872.0776608581.

Adding to 663232020 its reverse (20232366), we get a palindrome (683464386).

The spelling of 663232020 in words is "six hundred sixty-three million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 197 220 330 394 591 660 788 985 1182 1970 2167 2364 2955 3940 4334 5101 5910 6501 8668 10202 10835 11820 13002 15303 20404 21670 25505 26004 30606 32505 43340 51010 56111 61212 65010 76515 102020 112222 130020 153030 168333 224444 280555 306060 336666 561110 673332 841665 1004897 1122220 1683330 2009794 3014691 3366660 4019588 5024485 6029382 10048970 11053867 12058764 15073455 20097940 22107734 30146910 33161601 44215468 55269335 60293820 66323202 110538670 132646404 165808005 221077340 331616010 663232020