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20264376 = 23311591301
BaseRepresentation
bin100110101001…
…1010110111000
31102010112111110
41031103112320
520141430001
62002200320
7334146546
oct115232670
942115443
1020264376
1110490a20
1269530a0
134276872
142996d96
151ba43d6
hex13535b8

20264376 has 64 divisors (see below), whose sum is σ = 56246400. Its totient is φ = 6032000.

The previous prime is 20264371. The next prime is 20264381. The reversal of 20264376 is 67346202.

It is an interprime number because it is at equal distance from previous prime (20264371) and next prime (20264381).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20264371) 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 15 ways as a sum of consecutive naturals, for example, 14926 + ... + 16226.

It is an arithmetic number, because the mean of its divisors is an integer number (878850).

Almost surely, 220264376 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 20264376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28123200).

20264376 is an abundant number, since it is smaller than the sum of its proper divisors (35982024).

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

20264376 is a wasteful number, since it uses less digits than its factorization.

20264376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 20264376 is about 4501.5970499368. The cubic root of 20264376 is about 272.6325747182.

The spelling of 20264376 in words is "twenty million, two hundred sixty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 132 177 236 264 354 472 649 708 1298 1301 1416 1947 2596 2602 3894 3903 5192 5204 7788 7806 10408 14311 15576 15612 28622 31224 42933 57244 76759 85866 114488 153518 171732 230277 307036 343464 460554 614072 844349 921108 1688698 1842216 2533047 3377396 5066094 6754792 10132188 20264376