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235245040 = 2456743889
BaseRepresentation
bin11100000010110…
…00110111110000
3121101122200112021
432001120313300
5440210320130
635202041224
75554356412
oct1601306760
9541580467
10235245040
11110876098
1266949214
1339977764
14233589b2
15159bc37a
hexe058df0

235245040 has 40 divisors (see below), whose sum is σ = 555120720. Its totient is φ = 92691456.

The previous prime is 235245037. The next prime is 235245041. The reversal of 235245040 is 40542532.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 235244996 and 235245014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235245041) 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 7 ways as a sum of consecutive naturals, for example, 16585 + ... + 27304.

It is an arithmetic number, because the mean of its divisors is an integer number (13878018).

Almost surely, 2235245040 is an apocalyptic number.

235245040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235245040 is an abundant number, since it is smaller than the sum of its proper divisors (319875680).

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

235245040 is a wasteful number, since it uses less digits than its factorization.

235245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43969 (or 43963 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 235245040 is about 15337.6999579468. The cubic root of 235245040 is about 617.3149931757.

Adding to 235245040 its reverse (40542532), we get a palindrome (275787572).

The spelling of 235245040 in words is "two hundred thirty-five million, two hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 43889 87778 175556 219445 351112 438890 702224 877780 1755560 2940563 3511120 5881126 11762252 14702815 23524504 29405630 47049008 58811260 117622520 235245040