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235095840 = 25325783281
BaseRepresentation
bin11100000001101…
…00011100100000
3121101101002212100
432000310130200
5440141031330
635154530400
75553165420
oct1600643440
9541332770
10235095840
11110783a91
1266896a00
1339924885
142331a480
151598d060
hexe034720

235095840 has 288 divisors, whose sum is σ = 931222656. Its totient is φ = 52899840.

The previous prime is 235095829. The next prime is 235095859. The reversal of 235095840 is 48590532.

235095840 is a `hidden beast` number, since 23 + 50 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 235095795 and 235095804.

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, 836500 + ... + 836780.

It is an arithmetic number, because the mean of its divisors is an integer number (3233412).

Almost surely, 2235095840 is an apocalyptic number.

235095840 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 235095840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465611328).

235095840 is an abundant number, since it is smaller than the sum of its proper divisors (696126816).

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

235095840 is a wasteful number, since it uses less digits than its factorization.

235095840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 235095840 is about 15332.8353542324. The cubic root of 235095840 is about 617.1844585419.

The spelling of 235095840 in words is "two hundred thirty-five million, ninety-five thousand, eight hundred forty".