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670664736 = 253271917509
BaseRepresentation
bin100111111110011…
…000100000100000
31201201222022001200
4213332120200200
52333142232421
6150314401200
722422361530
oct4776304040
91651868050
10670664736
11314633385
12168730200
13a8c3ab51
14650dd4c0
153dd2a726
hex27f98820

670664736 has 144 divisors (see below), whose sum is σ = 2294510400. Its totient is φ = 181522944.

The previous prime is 670664719. The next prime is 670664749. The reversal of 670664736 is 637466076.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6706647362 = 899582376227899392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 670664691 and 670664700.

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 23 ways as a sum of consecutive naturals, for example, 29550 + ... + 47058.

It is an arithmetic number, because the mean of its divisors is an integer number (15934100).

Almost surely, 2670664736 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 670664736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147255200).

670664736 is an abundant number, since it is smaller than the sum of its proper divisors (1623845664).

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

670664736 is a wasteful number, since it uses less digits than its factorization.

670664736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17551 (or 17540 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 670664736 is about 25897.1955238400. The cubic root of 670664736 is about 875.3233030045.

The spelling of 670664736 in words is "six hundred seventy million, six hundred sixty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 9576 12768 17509 19152 35018 38304 52527 70036 105054 122563 140072 157581 210108 245126 280144 315162 332671 367689 420216 490252 560288 630324 665342 735378 840432 980504 998013 1103067 1260648 1330684 1470756 1680864 1961008 1996026 2206134 2328697 2521296 2661368 2941512 2994039 3922016 3992052 4412268 4657394 5042592 5322736 5883024 5988078 6986091 7984104 8824536 9314788 10645472 11766048 11976156 13972182 15968208 17649072 18629576 20958273 23952312 27944364 31936416 35298144 37259152 41916546 47904624 55888728 74518304 83833092 95809248 111777456 167666184 223554912 335332368 670664736