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235420920 = 233257103907
BaseRepresentation
bin11100000100000…
…11110011111000
3121101222121210100
432002003303320
5440231432140
635205515400
75556021240
oct1602036370
9541877710
10235420920
11110986249
1266a12b60
1339a09827
14233a2b20
1515a04530
hexe083cf8

235420920 has 192 divisors, whose sum is σ = 883883520. Its totient is φ = 53229312.

The previous prime is 235420919. The next prime is 235420921. The reversal of 235420920 is 29024532.

235420920 is a `hidden beast` number, since 235 + 420 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (235420919) and next prime (235420921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235420921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259107 + ... + 260013.

It is an arithmetic number, because the mean of its divisors is an integer number (4603560).

Almost surely, 2235420920 is an apocalyptic number.

235420920 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 235420920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441941760).

235420920 is an abundant number, since it is smaller than the sum of its proper divisors (648462600).

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

235420920 is a wasteful number, since it uses less digits than its factorization.

235420920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 235420920 is about 15343.4324712562. The cubic root of 235420920 is about 617.4687992016.

The spelling of 235420920 in words is "two hundred thirty-five million, four hundred twenty thousand, nine hundred twenty".