Search a number
-
+
20397664 = 257412221
BaseRepresentation
bin100110111001…
…1111001100000
31102101022100001
41031303321200
520210211124
62005105344
7335243260
oct115637140
942338301
1020397664
1110572081
1269b8254
1342c2431
1429cd7a0
151bcdb44
hex1373e60

20397664 has 48 divisors (see below), whose sum is σ = 47035296. Its totient is φ = 8524800.

The previous prime is 20397647. The next prime is 20397673. The reversal of 20397664 is 46679302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8074 + ... + 10294.

It is an arithmetic number, because the mean of its divisors is an integer number (979902).

Almost surely, 220397664 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 20397664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23517648).

20397664 is an abundant number, since it is smaller than the sum of its proper divisors (26637632).

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

20397664 is a wasteful number, since it uses less digits than its factorization.

20397664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 20397664 is about 4516.3773093044. The cubic root of 20397664 is about 273.2290116797.

The spelling of 20397664 in words is "twenty million, three hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 2221 2296 4442 4592 8884 9184 15547 17768 31094 35536 62188 71072 91061 124376 182122 248752 364244 497504 637427 728488 1274854 1456976 2549708 2913952 5099416 10198832 20397664