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235424720 = 2452942809
BaseRepresentation
bin11100000100001…
…00101111010000
3121101222211000002
432002010233100
5440232042340
635205545132
75556035306
oct1602045720
9541884002
10235424720
11110989093
1266a151a8
1339a0b48b
14233a4276
1515a05715
hexe084bd0

235424720 has 20 divisors (see below), whose sum is σ = 547362660. Its totient is φ = 94169856.

The previous prime is 235424689. The next prime is 235424771. The reversal of 235424720 is 27424532.

235424720 is digitally balanced in base 3, 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 2 ways, for example, as 145250704 + 90174016 = 12052^2 + 9496^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1471325 + ... + 1471484.

It is an arithmetic number, because the mean of its divisors is an integer number (27368133).

Almost surely, 2235424720 is an apocalyptic number.

235424720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235424720 is an abundant number, since it is smaller than the sum of its proper divisors (311937940).

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

235424720 is a wasteful number, since it uses less digits than its factorization.

235424720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942822 (or 2942816 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 235424720 is about 15343.5563022397. The cubic root of 235424720 is about 617.4721214337.

The spelling of 235424720 in words is "two hundred thirty-five million, four hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2942809 5885618 11771236 14714045 23542472 29428090 47084944 58856180 117712360 235424720