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20004672 = 263313361
BaseRepresentation
bin100110001001…
…1111101000000
31101122100020210
41030103331000
520110122142
61552434120
7332015442
oct114237500
941570223
1020004672
1110323896
126848940
1341b55ac
14292a492
151b5249c
hex1313f40

20004672 has 56 divisors (see below), whose sum is σ = 54652672. Its totient is φ = 6451200.

The previous prime is 20004667. The next prime is 20004683. The reversal of 20004672 is 27640002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4272 + ... + 7632.

Almost surely, 220004672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27326336).

20004672 is an abundant number, since it is smaller than the sum of its proper divisors (34648000).

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

20004672 is a wasteful number, since it uses less digits than its factorization.

20004672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 20004672 is about 4472.6582699777. The cubic root of 20004672 is about 271.4628962791.

Adding to 20004672 its reverse (27640002), we get a palindrome (47644674).

The spelling of 20004672 in words is "twenty million, four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 3361 5952 6722 10083 13444 20166 26888 40332 53776 80664 104191 107552 161328 208382 215104 312573 322656 416764 625146 645312 833528 1250292 1667056 2500584 3334112 5001168 6668224 10002336 20004672