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207680 = 2651159
BaseRepresentation
bin110010101101000000
3101112212212
4302231000
523121210
64241252
71523324
oct625500
9345785
10207680
11132040
12a0228
13736b5
1455984
1541805
hex32b40

207680 has 56 divisors (see below), whose sum is σ = 548640. Its totient is φ = 74240.

The previous prime is 207679. The next prime is 207709. The reversal of 207680 is 86702.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3491 + ... + 3549.

2207680 is an apocalyptic number.

207680 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 207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274320).

207680 is an abundant number, since it is smaller than the sum of its proper divisors (340960).

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

207680 is a wasteful number, since it uses less digits than its factorization.

207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 207680 is about 455.7192117960. The cubic root of 207680 is about 59.2195211979.

The spelling of 207680 in words is "two hundred seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 59 64 80 88 110 118 160 176 220 236 295 320 352 440 472 590 649 704 880 944 1180 1298 1760 1888 2360 2596 3245 3520 3776 4720 5192 6490 9440 10384 12980 18880 20768 25960 41536 51920 103840 207680