Search a number
-
+
235914120 = 23355131867
BaseRepresentation
bin11100000111111…
…00001110001000
3121102220200100000
432003330032020
5440343222440
635224243000
75563144161
oct1603741610
9542820300
10235914120
11111192852
1267010460
1339b50170
1423490768
1515aa0730
hexe0fc388

235914120 has 192 divisors, whose sum is σ = 856739520. Its totient is φ = 58040064.

The previous prime is 235914113. The next prime is 235914139. The reversal of 235914120 is 21419532.

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

It is an unprimeable number.

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, 125427 + ... + 127293.

It is an arithmetic number, because the mean of its divisors is an integer number (4462185).

Almost surely, 2235914120 is an apocalyptic number.

235914120 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 235914120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428369760).

235914120 is an abundant number, since it is smaller than the sum of its proper divisors (620825400).

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

235914120 is a wasteful number, since it uses less digits than its factorization.

235914120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 235914120 is about 15359.4960854841. The cubic root of 235914120 is about 617.8996915149.

The spelling of 235914120 in words is "two hundred thirty-five million, nine hundred fourteen thousand, one hundred twenty".