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240987136 = 2101343421
BaseRepresentation
bin11100101110100…
…10110000000000
3121210110102012111
432113102300000
5443143042021
635525105104
75654233255
oct1627226000
9553412174
10240987136
11114038225
1268858194
133ac08250
142401142c
15162538e1
hexe5d2c00

240987136 has 88 divisors (see below), whose sum is σ = 532121744. Its totient is φ = 108380160.

The previous prime is 240987133. The next prime is 240987137. The reversal of 240987136 is 631789042.

It is not an unprimeable number, because it can be changed into a prime (240987133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 572206 + ... + 572626.

It is an arithmetic number, because the mean of its divisors is an integer number (6046838).

Almost surely, 2240987136 is an apocalyptic number.

240987136 is a gapful number since it is divisible by the number (26) 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 240987136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266060872).

240987136 is an abundant number, since it is smaller than the sum of its proper divisors (291134608).

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

240987136 is a wasteful number, since it uses less digits than its factorization.

240987136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 240987136 is about 15523.7603691889. The cubic root of 240987136 is about 622.2973526816.

The spelling of 240987136 in words is "two hundred forty million, nine hundred eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 172 208 256 344 416 421 512 559 688 832 842 1024 1118 1376 1664 1684 2236 2752 3328 3368 4472 5473 5504 6656 6736 8944 10946 11008 13312 13472 17888 18103 21892 22016 26944 35776 36206 43784 44032 53888 71552 72412 87568 107776 143104 144824 175136 215552 235339 286208 289648 350272 431104 470678 572416 579296 700544 941356 1158592 1401088 1882712 2317184 2802176 3765424 4634368 5604352 7530848 9268736 15061696 18537472 30123392 60246784 120493568 240987136