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240413152 = 2576783193
BaseRepresentation
bin11100101010001…
…10100111100000
3121202101020211211
432111012213200
5443021210102
635504515504
75646322660
oct1625064740
9552336754
10240413152
11113785a61
126861bb94
133aa66c05
1423d021a0
151618d7d7
hexe5469e0

240413152 has 96 divisors (see below), whose sum is σ = 558496512. Its totient is φ = 99753984.

The previous prime is 240413143. The next prime is 240413179. The reversal of 240413152 is 251314042.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1245568 + ... + 1245760.

It is an arithmetic number, because the mean of its divisors is an integer number (5817672).

Almost surely, 2240413152 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 240413152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279248256).

240413152 is an abundant number, since it is smaller than the sum of its proper divisors (318083360).

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

240413152 is a wasteful number, since it uses less digits than its factorization.

240413152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 240413152 is about 15505.2620745346. The cubic root of 240413152 is about 621.8028965737.

Adding to 240413152 its reverse (251314042), we get a palindrome (491727194).

The spelling of 240413152 in words is "two hundred forty million, four hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 83 112 134 166 193 224 268 332 386 469 536 581 664 772 938 1072 1162 1328 1351 1544 1876 2144 2324 2656 2702 3088 3752 4648 5404 5561 6176 7504 9296 10808 11122 12931 15008 16019 18592 21616 22244 25862 32038 38927 43232 44488 51724 64076 77854 88976 90517 103448 112133 128152 155708 177952 181034 206896 224266 256304 311416 362068 413792 448532 512608 622832 724136 897064 1073273 1245664 1448272 1794128 2146546 2896544 3588256 4293092 7512911 8586184 15025822 17172368 30051644 34344736 60103288 120206576 240413152