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207768096 = 25321315507
BaseRepresentation
bin11000110001001…
…00101000100000
3112110221201020200
430120210220200
5411142034341
632341105200
75101666614
oct1430445040
9473851220
10207768096
11a7309278
12596b8200
1334077003
141d845344
1513390db6
hexc624a20

207768096 has 72 divisors (see below), whose sum is σ = 595458864. Its totient is φ = 68714880.

The previous prime is 207768079. The next prime is 207768137. The reversal of 207768096 is 690867702.

It is a happy number.

207768096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34975 + ... + 40481.

It is an arithmetic number, because the mean of its divisors is an integer number (8270262).

Almost surely, 2207768096 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 207768096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297729432).

207768096 is an abundant number, since it is smaller than the sum of its proper divisors (387690768).

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

207768096 is a wasteful number, since it uses less digits than its factorization.

207768096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5654 (or 5643 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 207768096 is about 14414.1630350152. The cubic root of 207768096 is about 592.2789347810.

The spelling of 207768096 in words is "two hundred seven million, seven hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 393 524 786 1048 1179 1572 2096 2358 3144 4192 4716 5507 6288 9432 11014 12576 16521 18864 22028 33042 37728 44056 49563 66084 88112 99126 132168 176224 198252 264336 396504 528672 721417 793008 1442834 1586016 2164251 2885668 4328502 5771336 6492753 8657004 11542672 12985506 17314008 23085344 25971012 34628016 51942024 69256032 103884048 207768096