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240421140 = 223251778569
BaseRepresentation
bin11100101010010…
…00100100010100
3121202101122210200
432111020210110
5443021434030
635505020500
75646355161
oct1625104424
9552348720
10240421140
11113790a63
1268624730
133aa6a73b
1423d05068
1516190d60
hexe548914

240421140 has 72 divisors (see below), whose sum is σ = 772185960. Its totient is φ = 60340224.

The previous prime is 240421133. The next prime is 240421183. The reversal of 240421140 is 41124042.

240421140 is a `hidden beast` number, since 240 + 421 + 1 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 127509264 + 112911876 = 11292^2 + 10626^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36225 + ... + 42344.

It is an arithmetic number, because the mean of its divisors is an integer number (10724805).

Almost surely, 2240421140 is an apocalyptic number.

240421140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240421140 is an abundant number, since it is smaller than the sum of its proper divisors (531764820).

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

240421140 is a wasteful number, since it uses less digits than its factorization.

240421140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78601 (or 78596 counting only the distinct ones).

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

The square root of 240421140 is about 15505.5196623654. The cubic root of 240421140 is about 621.8097831998.

Adding to 240421140 its reverse (41124042), we get a palindrome (281545182).

The spelling of 240421140 in words is "two hundred forty million, four hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 78569 157138 235707 314276 392845 471414 707121 785690 942828 1178535 1335673 1414242 1571380 2357070 2671346 2828484 3535605 4007019 4714140 5342692 6678365 7071210 8014038 12021057 13356730 14142420 16028076 20035095 24042114 26713460 40070190 48084228 60105285 80140380 120210570 240421140