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240601482 = 233112231601
BaseRepresentation
bin11100101011101…
…00100110001010
3121202201211012000
432111310212022
5443043221412
635512531430
75651036022
oct1625644612
9552654160
10240601482
111138a4500
12686b0b76
133ab01854
1423d50a82
15161c94dc
hexe57498a

240601482 has 96 divisors (see below), whose sum is σ = 613630080. Its totient is φ = 69696000.

The previous prime is 240601481. The next prime is 240601483. The reversal of 240601482 is 284106042.

240601482 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (240601481) and next prime (240601483).

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

It is not an unprimeable number, because it can be changed into a prime (240601481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149482 + ... + 151082.

It is an arithmetic number, because the mean of its divisors is an integer number (6391980).

Almost surely, 2240601482 is an apocalyptic number.

240601482 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 240601482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306815040).

240601482 is an abundant number, since it is smaller than the sum of its proper divisors (373028598).

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

240601482 is a wasteful number, since it uses less digits than its factorization.

240601482 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 240601482 is about 15511.3339851864. Note that the first 3 decimals coincide. The cubic root of 240601482 is about 621.9652193274.

The spelling of 240601482 in words is "two hundred forty million, six hundred one thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 121 138 198 207 242 253 297 363 414 506 594 621 726 759 1089 1242 1518 1601 2178 2277 2783 3202 3267 4554 4803 5566 6534 6831 8349 9606 13662 14409 16698 17611 25047 28818 35222 36823 43227 50094 52833 73646 75141 86454 105666 110469 150282 158499 193721 220938 316998 331407 387442 405053 475497 581163 662814 810106 950994 994221 1162326 1215159 1743489 1988442 2430318 3486978 3645477 4455583 5230467 7290954 8911166 10460934 10936431 13366749 21872862 26733498 40100247 80200494 120300741 240601482