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240821532 = 223371132819
BaseRepresentation
bin11100101101010…
…10010100011100
3121210011000001000
432112222110130
5443122242112
635521350300
75652643410
oct1626522434
9553130030
10240821532
11113a34866
1268798390
133ab7aa63
1423daad40
151621e7dc
hexe5aa51c

240821532 has 96 divisors (see below), whose sum is σ = 720115200. Its totient is φ = 68173056.

The previous prime is 240821521. The next prime is 240821533. The reversal of 240821532 is 235128042.

240821532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 240821496 and 240821505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240821533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84019 + ... + 86837.

It is an arithmetic number, because the mean of its divisors is an integer number (7501200).

Almost surely, 2240821532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240821532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360057600).

240821532 is an abundant number, since it is smaller than the sum of its proper divisors (479293668).

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

240821532 is a wasteful number, since it uses less digits than its factorization.

240821532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 240821532 is about 15518.4255644701. The cubic root of 240821532 is about 622.1547744682.

Adding to 240821532 its reverse (235128042), we get a palindrome (475949574).

The spelling of 240821532 in words is "two hundred forty million, eight hundred twenty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 113 126 189 226 252 339 378 452 678 756 791 1017 1356 1582 2034 2373 2819 3051 3164 4068 4746 5638 6102 7119 8457 9492 11276 12204 14238 16914 19733 21357 25371 28476 33828 39466 42714 50742 59199 76113 78932 85428 101484 118398 152226 177597 236796 304452 318547 355194 532791 637094 710388 955641 1065582 1274188 1911282 2131164 2229829 2866923 3822564 4459658 5733846 6689487 8600769 8919316 11467692 13378974 17201538 20068461 26757948 34403076 40136922 60205383 80273844 120410766 240821532