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20052672 = 263711471
BaseRepresentation
bin100110001111…
…1101011000000
31101201210002120
41030133223000
520113141142
61553444240
7332305413
oct114375300
941653076
1020052672
1110356962
126870680
1342013b3
14293db7a
151b617ec
hex131fac0

20052672 has 56 divisors (see below), whose sum is σ = 53839872. Its totient is φ = 6585600.

The previous prime is 20052671. The next prime is 20052677. The reversal of 20052672 is 27625002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20052671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12897 + ... + 14367.

Almost surely, 220052672 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 20052672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26919936).

20052672 is an abundant number, since it is smaller than the sum of its proper divisors (33787200).

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

20052672 is a wasteful number, since it uses less digits than its factorization.

20052672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 20052672 is about 4478.0209914649. The cubic root of 20052672 is about 271.6798424530.

Adding to 20052672 its reverse (27625002), we get a palindrome (47677674).

The spelling of 20052672 in words is "twenty million, fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1471 1704 2272 2942 3408 4413 4544 5884 6816 8826 11768 13632 17652 23536 35304 47072 70608 94144 104441 141216 208882 282432 313323 417764 626646 835528 1253292 1671056 2506584 3342112 5013168 6684224 10026336 20052672