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20005376 = 2941953
BaseRepresentation
bin100110001010…
…0001000000000
31101122101012212
41030110020000
520110133001
61552441252
7332020466
oct114241000
941571185
1020005376
1110324376
126849228
1341b5a01
14292a836
151b527bb
hex1314200

20005376 has 40 divisors (see below), whose sum is σ = 40989564. Its totient is φ = 9748480.

The previous prime is 20005369. The next prime is 20005393. The reversal of 20005376 is 67350002.

It can be written as a sum of positive squares in 2 ways, for example, as 17977600 + 2027776 = 4240^2 + 1424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20516 + ... + 21468.

Almost surely, 220005376 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 20005376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20494782).

20005376 is an abundant number, since it is smaller than the sum of its proper divisors (20984188).

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

20005376 is an frugal number, since it uses more digits than its factorization.

20005376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 20005376 is about 4472.7369696865. The cubic root of 20005376 is about 271.4660806625.

Adding to 20005376 its reverse (67350002), we get a palindrome (87355378).

The spelling of 20005376 in words is "twenty million, five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 953 1312 1906 2624 3812 5248 7624 10496 15248 20992 30496 39073 60992 78146 121984 156292 243968 312584 487936 625168 1250336 2500672 5001344 10002688 20005376