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20927680 = 265173847
BaseRepresentation
bin100111111010…
…1010011000000
31110101020101021
41033311103000
520324141210
62024315224
7342611434
oct117652300
943336337
1020927680
11108a4304
127012b14
134449757
142aca9c4
151c85bda
hex13f54c0

20927680 has 56 divisors (see below), whose sum is σ = 52779168. Its totient is φ = 7876608.

The previous prime is 20927659. The next prime is 20927689. The reversal of 20927680 is 8672902.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (20927689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3517 + ... + 7363.

Almost surely, 220927680 is an apocalyptic number.

20927680 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 20927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26389584).

20927680 is an abundant number, since it is smaller than the sum of its proper divisors (31851488).

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

20927680 is a wasteful number, since it uses less digits than its factorization.

20927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 20927680 is about 4574.6781307541. The cubic root of 20927680 is about 275.5753464030.

Adding to 20927680 its product of nonzero digits (12096), we get a square (20939776 = 45762).

It can be divided in two parts, 209 and 27680, that added together give a square (27889 = 1672).

The spelling of 20927680 in words is "twenty million, nine hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 3847 5440 7694 15388 19235 30776 38470 61552 65399 76940 123104 130798 153880 246208 261596 307760 326995 523192 615520 653990 1046384 1231040 1307980 2092768 2615960 4185536 5231920 10463840 20927680