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20059776 = 2732111583
BaseRepresentation
bin100110010000…
…1011010000000
31101202010211200
41030201122000
520113403101
61553541200
7332335212
oct114413200
941663750
1020059776
1110361230
126874800
1342046b9
1429425b2
151b63986
hex1321680

20059776 has 96 divisors (see below), whose sum is σ = 63011520. Its totient is φ = 6074880.

The previous prime is 20059771. The next prime is 20059807. The reversal of 20059776 is 67795002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×200597762 = 804789226340352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20059776.

It is not an unprimeable number, because it can be changed into a prime (20059771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11881 + ... + 13463.

It is an arithmetic number, because the mean of its divisors is an integer number (656370).

Almost surely, 220059776 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 20059776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31505760).

20059776 is an abundant number, since it is smaller than the sum of its proper divisors (42951744).

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

20059776 is a wasteful number, since it uses less digits than its factorization.

20059776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 20059776 is about 4478.8141287622. The cubic root of 20059776 is about 271.7119210663.

It can be divided in two parts, 2005 and 9776, that added together give a triangular number (11781 = T153).

The spelling of 20059776 in words is "twenty million, fifty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1583 1584 2112 3166 3168 4224 4749 6332 6336 9498 12664 12672 14247 17413 18996 25328 28494 34826 37992 50656 52239 56988 69652 75984 101312 104478 113976 139304 151968 156717 202624 208956 227952 278608 303936 313434 417912 455904 557216 607872 626868 835824 911808 1114432 1253736 1671648 1823616 2228864 2507472 3343296 5014944 6686592 10029888 20059776