Search a number
-
+
240133340 = 225232947383
BaseRepresentation
bin11100101000000…
…10010011011100
3121201212001000102
432110002103130
5442433231330
635454520232
75644046126
oct1624022334
9551761012
10240133340
11113604807
1268506078
133a999745
1423c6c216
1516135945
hexe5024dc

240133340 has 96 divisors (see below), whose sum is σ = 557383680. Its totient is φ = 86594816.

The previous prime is 240133339. The next prime is 240133373. The reversal of 240133340 is 43331042.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626789 + ... + 627171.

It is an arithmetic number, because the mean of its divisors is an integer number (5806080).

Almost surely, 2240133340 is an apocalyptic number.

240133340 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 240133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278691840).

240133340 is an abundant number, since it is smaller than the sum of its proper divisors (317250340).

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

240133340 is a wasteful number, since it uses less digits than its factorization.

240133340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 240133340 is about 15496.2363172481. The cubic root of 240133340 is about 621.5615683231.

Adding to 240133340 its reverse (43331042), we get a palindrome (283464382).

The spelling of 240133340 in words is "two hundred forty million, one hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 29 46 47 58 92 94 115 116 145 188 230 235 290 383 460 470 580 667 766 940 1081 1334 1363 1532 1915 2162 2668 2726 3335 3830 4324 5405 5452 6670 6815 7660 8809 10810 11107 13340 13630 17618 18001 21620 22214 27260 31349 35236 36002 44045 44428 55535 62698 72004 88090 90005 111070 125396 156745 176180 180010 222140 255461 313490 360020 414023 510922 522029 626980 828046 1021844 1044058 1277305 1656092 2070115 2088116 2554610 2610145 4140230 5109220 5220290 8280460 10440580 12006667 24013334 48026668 60033335 120066670 240133340