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235428120 = 2335553457
BaseRepresentation
bin11100000100001…
…01100100011000
3121101222222200000
432002011210120
5440232144440
635210013000
75556051234
oct1602054430
9541888600
10235428120
111109906a4
1266a17160
1339a0cba5
14233a55c4
1515a06730
hexe085918

235428120 has 192 divisors, whose sum is σ = 810220320. Its totient is φ = 61461504.

The previous prime is 235428047. The next prime is 235428131. The reversal of 235428120 is 21824532.

235428120 is a `hidden beast` number, since 23 + 542 + 81 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 514932 + ... + 515388.

Almost surely, 2235428120 is an apocalyptic number.

235428120 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 235428120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405110160).

235428120 is an abundant number, since it is smaller than the sum of its proper divisors (574792200).

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

235428120 is a wasteful number, since it uses less digits than its factorization.

235428120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 235428120 is about 15343.6670975357. The cubic root of 235428120 is about 617.4750939268.

The spelling of 235428120 in words is "two hundred thirty-five million, four hundred twenty-eight thousand, one hundred twenty".