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1000086264 = 233411291367
BaseRepresentation
bin111011100111000…
…001101011111000
32120200211122110000
4323213001223320
54022010230024
6243123153000
733532410252
oct7347015370
92520748400
101000086264
11473582681
1223ab15760
1312c26a528
1496b70cd2
155cbebcc9
hex3b9c1af8

1000086264 has 80 divisors (see below), whose sum is σ = 2805699600. Its totient is φ = 332823168.

The previous prime is 1000086239. The next prime is 1000086301. The reversal of 1000086264 is 4626800001.

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

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 19 ways as a sum of consecutive naturals, for example, 730909 + ... + 732275.

It is an arithmetic number, because the mean of its divisors is an integer number (35071245).

Almost surely, 21000086264 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 1000086264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402849800).

1000086264 is an abundant number, since it is smaller than the sum of its proper divisors (1805613336).

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

1000086264 is a wasteful number, since it uses less digits than its factorization.

1000086264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1000086264 is about 31624.1405258704. The cubic root of 1000086264 is about 1000.0287538399.

Adding to 1000086264 its reverse (4626800001), we get a palindrome (5626886265).

The spelling of 1000086264 in words is "one billion, eighty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1129 1367 2258 2734 3387 4101 4516 5468 6774 8202 9032 10161 10936 12303 13548 16404 20322 24606 27096 30483 32808 36909 40644 49212 60966 73818 81288 91449 98424 110727 121932 147636 182898 221454 243864 295272 365796 442908 731592 885816 1543343 3086686 4630029 6173372 9260058 12346744 13890087 18520116 27780174 37040232 41670261 55560348 83340522 111120696 125010783 166681044 250021566 333362088 500043132 1000086264