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240241140 = 22345413617
BaseRepresentation
bin11100101000111…
…00100111110100
3121202001111220000
432110130213310
5443000204030
635501111300
75645005326
oct1624344764
9552044800
10240241140
111136787a7
1268558530
133aa06829
1423c99616
1516157860
hexe51c9f4

240241140 has 120 divisors (see below), whose sum is σ = 772240392. Its totient is φ = 62484480.

The previous prime is 240241117. The next prime is 240241147. The reversal of 240241140 is 41142042.

It can be written as a sum of positive squares in 4 ways, for example, as 23444964 + 216796176 = 4842^2 + 14724^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240241147) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64612 + ... + 68228.

Almost surely, 2240241140 is an apocalyptic number.

240241140 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 240241140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386120196).

240241140 is an abundant number, since it is smaller than the sum of its proper divisors (531999252).

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

240241140 is a wasteful number, since it uses less digits than its factorization.

240241140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 240241140 is about 15499.7141909133. The cubic root of 240241140 is about 621.6545643132.

Adding to 240241140 its reverse (41142042), we get a palindrome (281383182).

The spelling of 240241140 in words is "two hundred forty million, two hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 162 164 180 205 246 270 324 369 405 410 492 540 615 738 810 820 1107 1230 1476 1620 1845 2214 2460 3321 3617 3690 4428 5535 6642 7234 7380 10851 11070 13284 14468 16605 18085 21702 22140 32553 33210 36170 43404 54255 65106 66420 72340 97659 108510 130212 148297 162765 195318 217020 292977 296594 325530 390636 444891 488295 585954 593188 651060 741485 889782 976590 1171908 1334673 1464885 1482970 1779564 1953180 2224455 2669346 2929770 2965940 4004019 4448910 5338692 5859540 6673365 8008038 8897820 12012057 13346730 16016076 20020095 24024114 26693460 40040190 48048228 60060285 80080380 120120570 240241140