Search a number
-
+
20396264 = 237312379
BaseRepresentation
bin100110111001…
…1100011101000
31102101020102012
41031303203220
520210140024
62005055052
7335236220
oct115634350
942336365
1020396264
1110571019
1269b7488
1342c18c5
1429cd080
151bcd50e
hex13738e8

20396264 has 48 divisors (see below), whose sum is σ = 45280800. Its totient is φ = 8436960.

The previous prime is 20396237. The next prime is 20396269. The reversal of 20396264 is 46269302.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20396264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20396269) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 53627 + ... + 54005.

It is an arithmetic number, because the mean of its divisors is an integer number (943350).

Almost surely, 220396264 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 20396264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22640400).

20396264 is an abundant number, since it is smaller than the sum of its proper divisors (24884536).

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

20396264 is a wasteful number, since it uses less digits than its factorization.

20396264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 20396264 is about 4516.2223151656. Note that the first 3 decimals coincide. The cubic root of 20396264 is about 273.2227604840. Note that the first 3 decimals are identical.

The spelling of 20396264 in words is "twenty million, three hundred ninety-six thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 379 434 758 868 961 1516 1736 1922 2653 3032 3844 5306 6727 7688 10612 11749 13454 21224 23498 26908 46996 53816 82243 93992 164486 328972 364219 657944 728438 1456876 2549533 2913752 5099066 10198132 20396264