Search a number
-
+
235413240 = 23353721433
BaseRepresentation
bin11100000100000…
…01111011111000
3121101222020020220
432002001323320
5440231210430
635205420040
75555656656
oct1602017370
9541866226
10235413240
111109804a7
1266a0a620
1339a0619a
142339ddd6
1515a02110
hexe081ef8

235413240 has 96 divisors (see below), whose sum is σ = 726349680. Its totient is φ = 61037568.

The previous prime is 235413223. The next prime is 235413259. The reversal of 235413240 is 42314532.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 235413240.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 163564 + ... + 164996.

Almost surely, 2235413240 is an apocalyptic number.

235413240 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 235413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363174840).

235413240 is an abundant number, since it is smaller than the sum of its proper divisors (490936440).

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

235413240 is a wasteful number, since it uses less digits than its factorization.

235413240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 235413240 is about 15343.1821992701. The cubic root of 235413240 is about 617.4620846865.

Adding to 235413240 its reverse (42314532), we get a palindrome (277727772).

The spelling of 235413240 in words is "two hundred thirty-five million, four hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1369 1433 1480 2220 2738 2866 4107 4299 4440 5476 5732 6845 7165 8214 8598 10952 11464 13690 14330 16428 17196 20535 21495 27380 28660 32856 34392 41070 42990 53021 54760 57320 82140 85980 106042 159063 164280 171960 212084 265105 318126 424168 530210 636252 795315 1060420 1272504 1590630 1961777 2120840 3181260 3923554 5885331 6362520 7847108 9808885 11770662 15694216 19617770 23541324 29426655 39235540 47082648 58853310 78471080 117706620 235413240