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163240768 = 2629281313
BaseRepresentation
bin10011011101011…
…01101101000000
3102101011111020101
421232231231000
5313242201033
624110452144
74021344415
oct1156555500
9371144211
10163240768
1184166229
1246804054
1327a86892
141797410c
15e4e797d
hex9badb40

163240768 has 56 divisors (see below), whose sum is σ = 337367880. Its totient is φ = 78274560.

The previous prime is 163240757. The next prime is 163240789. The reversal of 163240768 is 867042361.

163240768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3268864 + 159971904 = 1808^2 + 12648^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 521380 + ... + 521692.

Almost surely, 2163240768 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 163240768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168683940).

163240768 is an abundant number, since it is smaller than the sum of its proper divisors (174127112).

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

163240768 is a wasteful number, since it uses less digits than its factorization.

163240768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 163240768 is about 12776.5710579952. The cubic root of 163240768 is about 546.5243836197.

The spelling of 163240768 in words is "one hundred sixty-three million, two hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 281 313 464 562 626 928 1124 1252 1856 2248 2504 4496 5008 8149 8992 9077 10016 16298 17984 18154 20032 32596 36308 65192 72616 87953 130384 145232 175906 260768 290464 351812 521536 580928 703624 1407248 2550637 2814496 5101274 5628992 10202548 20405096 40810192 81620384 163240768