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240230520 = 233251016607
BaseRepresentation
bin11100101000110…
…10000001111000
3121202000222022200
432110122001320
5442444334040
635500550200
75644632345
oct1624320170
9552028280
10240230520
11113670822
1268552360
133aa01a4a
1423c957cc
1516154630
hexe51a078

240230520 has 96 divisors (see below), whose sum is σ = 788598720. Its totient is φ = 63417600.

The previous prime is 240230513. The next prime is 240230531. The reversal of 240230520 is 25032042.

240230520 = T331 + T332 + ... + T1138.

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

It is a junction number, because it is equal to n+sod(n) for n = 240230493 and 240230502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33057 + ... + 39663.

It is an arithmetic number, because the mean of its divisors is an integer number (8214570).

Almost surely, 2240230520 is an apocalyptic number.

240230520 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 240230520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394299360).

240230520 is an abundant number, since it is smaller than the sum of its proper divisors (548368200).

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

240230520 is a wasteful number, since it uses less digits than its factorization.

240230520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6725 (or 6718 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 240230520 is about 15499.3716001650. The cubic root of 240230520 is about 621.6454039771.

Adding to 240230520 its reverse (25032042), we get a palindrome (265262562).

The spelling of 240230520 in words is "two hundred forty million, two hundred thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 360 404 505 606 808 909 1010 1212 1515 1818 2020 2424 3030 3636 4040 4545 6060 6607 7272 9090 12120 13214 18180 19821 26428 33035 36360 39642 52856 59463 66070 79284 99105 118926 132140 158568 198210 237852 264280 297315 396420 475704 594630 667307 792840 1189260 1334614 2001921 2378520 2669228 3336535 4003842 5338456 6005763 6673070 8007684 10009605 12011526 13346140 16015368 20019210 24023052 26692280 30028815 40038420 48046104 60057630 80076840 120115260 240230520