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864152310 = 235731313147
BaseRepresentation
bin110011100000011…
…110101011110110
32020020001111010010
4303200132223312
53232210333220
6221425441050
730262113330
oct6340365366
92206044103
10864152310
1140387846a
122014a0186
1310a054b38
1482aa8450
1550cea1e0
hex3381eaf6

864152310 has 64 divisors (see below), whose sum is σ = 2377999872. Its totient is φ = 196874496.

The previous prime is 864152309. The next prime is 864152369. The reversal of 864152310 is 13251468.

It is a super-2 number, since 2×8641523102 = 1493518429756672200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59157 + ... + 72303.

It is an arithmetic number, because the mean of its divisors is an integer number (37156248).

Almost surely, 2864152310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864152310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188999936).

864152310 is an abundant number, since it is smaller than the sum of its proper divisors (1513847562).

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

864152310 is a wasteful number, since it uses less digits than its factorization.

864152310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13477.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 864152310 is about 29396.4676449399. The cubic root of 864152310 is about 952.4965948032.

The spelling of 864152310 in words is "eight hundred sixty-four million, one hundred fifty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 313 626 939 1565 1878 2191 3130 4382 4695 6573 9390 10955 13146 13147 21910 26294 32865 39441 65730 65735 78882 92029 131470 184058 197205 276087 394410 460145 552174 920290 1380435 2760870 4115011 8230022 12345033 20575055 24690066 28805077 41150110 57610154 61725165 86415231 123450330 144025385 172830462 288050770 432076155 864152310