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235240768 = 267275013
BaseRepresentation
bin11100000010101…
…11110101000000
3121101122110200001
432001113311000
5440210201033
635202005344
75554341100
oct1601276500
9541573601
10235240768
11110872964
1266946854
1339975829
1423357200
15159bae7d
hexe057d40

235240768 has 42 divisors (see below), whose sum is σ = 543026346. Its totient is φ = 100816128.

The previous prime is 235240751. The next prime is 235240771. The reversal of 235240768 is 867042532.

It can be written as a sum of positive squares in only one way, i.e., 233722944 + 1517824 = 15288^2 + 1232^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34371 + ... + 40642.

Almost surely, 2235240768 is an apocalyptic number.

235240768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

235240768 is an abundant number, since it is smaller than the sum of its proper divisors (307785578).

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

235240768 is an equidigital number, since it uses as much as digits as its factorization.

235240768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75039 (or 75022 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 235240768 is about 15337.5606926265. The cubic root of 235240768 is about 617.3112563834.

The spelling of 235240768 in words is "two hundred thirty-five million, two hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 75013 150026 300052 525091 600104 1050182 1200208 2100364 2400416 3675637 4200728 4800832 7351274 8401456 14702548 16802912 29405096 33605824 58810192 117620384 235240768