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235491240 = 23353495623
BaseRepresentation
bin11100000100101…
…00111110101000
3121102010012020210
432002110332220
5440241204430
635211221120
75556433245
oct1602247650
9542105223
10235491240
11110a24066
1266a477a0
1339a3283a
14233c05cc
1515a1a2b0
hexe094fa8

235491240 has 64 divisors (see below), whose sum is σ = 708624000. Its totient is φ = 62606592.

The previous prime is 235491229. The next prime is 235491251. The reversal of 235491240 is 42194532.

It is an interprime number because it is at equal distance from previous prime (235491229) and next prime (235491251).

It is a super-3 number, since 3×2354912403 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 235491198 and 235491207.

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 15 ways as a sum of consecutive naturals, for example, 39069 + ... + 44691.

It is an arithmetic number, because the mean of its divisors is an integer number (11072250).

Almost surely, 2235491240 is an apocalyptic number.

235491240 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 235491240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354312000).

235491240 is an abundant number, since it is smaller than the sum of its proper divisors (473132760).

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

235491240 is a wasteful number, since it uses less digits than its factorization.

235491240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5986 (or 5982 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 235491240 is about 15345.7238343455. The cubic root of 235491240 is about 617.5302721914.

The spelling of 235491240 in words is "two hundred thirty-five million, four hundred ninety-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 349 698 1047 1396 1745 2094 2792 3490 4188 5235 5623 6980 8376 10470 11246 13960 16869 20940 22492 28115 33738 41880 44984 56230 67476 84345 112460 134952 168690 224920 337380 674760 1962427 3924854 5887281 7849708 9812135 11774562 15699416 19624270 23549124 29436405 39248540 47098248 58872810 78497080 117745620 235491240