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20065696 = 257267191
BaseRepresentation
bin100110010001…
…0110110100000
31101202102221221
41030202312200
520114100241
61554024424
7332361400
oct114426640
941672857
1020065696
1110365722
126878114
1342072c1
142944800
151b655d1
hex1322da0

20065696 has 72 divisors (see below), whose sum is σ = 46884096. Its totient is φ = 8426880.

The previous prime is 20065657. The next prime is 20065733. The reversal of 20065696 is 69656002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104961 + ... + 105151.

It is an arithmetic number, because the mean of its divisors is an integer number (651168).

Almost surely, 220065696 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 20065696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23442048).

20065696 is an abundant number, since it is smaller than the sum of its proper divisors (26818400).

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

20065696 is a wasteful number, since it uses less digits than its factorization.

20065696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 20065696 is about 4479.4749692347. The cubic root of 20065696 is about 271.7386474591.

The spelling of 20065696 in words is "twenty million, sixty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 67 98 112 134 191 196 224 268 382 392 469 536 764 784 938 1072 1337 1528 1568 1876 2144 2674 3056 3283 3752 5348 6112 6566 7504 9359 10696 12797 13132 15008 18718 21392 25594 26264 37436 42784 51188 52528 74872 89579 102376 105056 149744 179158 204752 299488 358316 409504 627053 716632 1254106 1433264 2508212 2866528 5016424 10032848 20065696