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20296560 = 2435194451
BaseRepresentation
bin100110101101…
…1001101110000
31102012011122110
41031123031300
520143442220
62003005320
7334342434
oct115331560
942164573
1020296560
1110503119
126969840
1342883cb
1429a49c4
151badbe0
hex135b370

20296560 has 80 divisors (see below), whose sum is σ = 66245760. Its totient is φ = 5126400.

The previous prime is 20296519. The next prime is 20296561. The reversal of 20296560 is 6569202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20296561) 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, 2335 + ... + 6785.

It is an arithmetic number, because the mean of its divisors is an integer number (828072).

Almost surely, 220296560 is an apocalyptic number.

20296560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20296560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33122880).

20296560 is an abundant number, since it is smaller than the sum of its proper divisors (45949200).

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

20296560 is a wasteful number, since it uses less digits than its factorization.

20296560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 20296560 is about 4505.1703630385. The cubic root of 20296560 is about 272.7768305901.

The spelling of 20296560 in words is "twenty million, two hundred ninety-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4451 4560 8902 13353 17804 22255 26706 35608 44510 53412 66765 71216 84569 89020 106824 133530 169138 178040 213648 253707 267060 338276 356080 422845 507414 534120 676552 845690 1014828 1068240 1268535 1353104 1691380 2029656 2537070 3382760 4059312 5074140 6765520 10148280 20296560