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240532628 = 227192811609
BaseRepresentation
bin11100101011000…
…11110010010100
3121202121022201212
432111203302110
5443034021003
635511240552
75650331210
oct1625436224
9552538655
10240532628
111138577a6
1268679158
133aaa93cb
1423d33940
15161b3dd8
hexe563c94

240532628 has 48 divisors (see below), whose sum is σ = 508502400. Its totient is φ = 97251840.

The previous prime is 240532601. The next prime is 240532631. The reversal of 240532628 is 826235042.

240532628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 240532594 and 240532603.

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, 148688 + ... + 150296.

It is an arithmetic number, because the mean of its divisors is an integer number (10593800).

Almost surely, 2240532628 is an apocalyptic number.

240532628 is a gapful number since it is divisible by the number (28) 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 240532628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254251200).

240532628 is an abundant number, since it is smaller than the sum of its proper divisors (267969772).

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

240532628 is a wasteful number, since it uses less digits than its factorization.

240532628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 240532628 is about 15509.1143525348. The cubic root of 240532628 is about 621.9058834792.

The spelling of 240532628 in words is "two hundred forty million, five hundred thirty-two thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 281 532 562 1124 1609 1967 3218 3934 5339 6436 7868 10678 11263 21356 22526 30571 37373 45052 61142 74746 122284 149492 213997 427994 452129 855988 904258 1808516 3164903 6329806 8590451 12659612 17180902 34361804 60133157 120266314 240532628