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660006864 = 2432113113441
BaseRepresentation
bin100111010101101…
…110011111010000
31200222220211012200
4213111232133100
52322430204424
6145254123200
722232652156
oct4725563720
91628824180
10660006864
11309613a20
12165050500
13a6978a0a
14639273d6
153ce228c9
hex2756e7d0

660006864 has 120 divisors (see below), whose sum is σ = 2080176384. Its totient is φ = 193536000.

The previous prime is 660006859. The next prime is 660006877. The reversal of 660006864 is 468600066.

It is a super-2 number, since 2×6600068642 = 871218121054228992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 42384 + ... + 55824.

Almost surely, 2660006864 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 660006864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040088192).

660006864 is an abundant number, since it is smaller than the sum of its proper divisors (1420169520).

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

660006864 is a wasteful number, since it uses less digits than its factorization.

660006864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13497 (or 13488 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 660006864 is about 25690.5987474017. The cubic root of 660006864 is about 870.6617873906.

The spelling of 660006864 in words is "six hundred sixty million, six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 99 124 132 144 176 186 198 248 264 279 341 372 396 496 528 558 682 744 792 1023 1116 1364 1488 1584 2046 2232 2728 3069 4092 4464 5456 6138 8184 12276 13441 16368 24552 26882 40323 49104 53764 80646 107528 120969 147851 161292 215056 241938 295702 322584 416671 443553 483876 591404 645168 833342 887106 967752 1182808 1250013 1330659 1666684 1774212 1935504 2365616 2500026 2661318 3333368 3548424 3750039 4583381 5000052 5322636 6666736 7096848 7500078 9166762 10000104 10645272 13750143 15000156 18333524 20000208 21290544 27500286 30000312 36667048 41250429 55000572 60000624 73334096 82500858 110001144 165001716 220002288 330003432 660006864