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240203420 = 22541535527
BaseRepresentation
bin11100101000100…
…11011010011100
3121201222121010222
432110103122130
5442443002140
635500220512
75644460342
oct1624233234
9551877128
10240203420
11113652426
126853a738
133a9c2602
1423c89992
151614b5b5
hexe51369c

240203420 has 48 divisors (see below), whose sum is σ = 526575168. Its totient is φ = 91952640.

The previous prime is 240203419. The next prime is 240203441. The reversal of 240203420 is 24302042.

240203420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2402034203 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40697 + ... + 46223.

It is an arithmetic number, because the mean of its divisors is an integer number (10970316).

Almost surely, 2240203420 is an apocalyptic number.

240203420 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 240203420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263287584).

240203420 is an abundant number, since it is smaller than the sum of its proper divisors (286371748).

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

240203420 is a wasteful number, since it uses less digits than its factorization.

240203420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5630 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 240203420 is about 15498.4973465172. The cubic root of 240203420 is about 621.6220275080.

Adding to 240203420 its reverse (24302042), we get a palindrome (264505462).

The spelling of 240203420 in words is "two hundred forty million, two hundred three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 53 82 106 164 205 212 265 410 530 820 1060 2173 4346 5527 8692 10865 11054 21730 22108 27635 43460 55270 110540 226607 292931 453214 585862 906428 1133035 1171724 1464655 2266070 2929310 4532140 5858620 12010171 24020342 48040684 60050855 120101710 240203420