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20632480 = 2551119617
BaseRepresentation
bin100111010110…
…1001110100000
31102211020102221
41032231032200
520240214410
62014120424
7340242001
oct116551640
942736387
1020632480
1110712540
126ab0114
13437528b
142a511a8
151c284da
hex13ad3a0

20632480 has 96 divisors (see below), whose sum is σ = 56064960. Its totient is φ = 7096320.

The previous prime is 20632439. The next prime is 20632481. The reversal of 20632480 is 8423602.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20632481) 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, 33132 + ... + 33748.

It is an arithmetic number, because the mean of its divisors is an integer number (584010).

Almost surely, 220632480 is an apocalyptic number.

20632480 is a gapful number since it is divisible by the number (20) 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 20632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28032480).

20632480 is an abundant number, since it is smaller than the sum of its proper divisors (35432480).

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

20632480 is a wasteful number, since it uses less digits than its factorization.

20632480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 20632480 is about 4542.2989773902. The cubic root of 20632480 is about 274.2734762232.

It can be divided in two parts, 20632 and 480, that added together give a palindrome (21112).

The spelling of 20632480 in words is "twenty million, six hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 76 80 88 95 110 152 160 176 190 209 220 304 352 380 418 440 608 617 760 836 880 1045 1234 1520 1672 1760 2090 2468 3040 3085 3344 4180 4936 6170 6688 6787 8360 9872 11723 12340 13574 16720 19744 23446 24680 27148 33440 33935 46892 49360 54296 58615 67870 93784 98720 108592 117230 128953 135740 187568 217184 234460 257906 271480 375136 468920 515812 542960 644765 937840 1031624 1085920 1289530 1875680 2063248 2579060 4126496 5158120 10316240 20632480