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670212864 = 2832461631
BaseRepresentation
bin100111111100101…
…010001100000000
31201201010100012200
4213330222030000
52333033302424
6150300553200
722415500236
oct4774521400
91651110180
10670212864
11314354932
12168552800
13a8b10279
1465022956
153dc8b8c9
hex27f2a300

670212864 has 108 divisors (see below), whose sum is σ = 1939649712. Its totient is φ = 222566400.

The previous prime is 670212841. The next prime is 670212869. The reversal of 670212864 is 468212076.

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

It is not an unprimeable number, because it can be changed into a prime (670212869) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1061829 + ... + 1062459.

Almost surely, 2670212864 is an apocalyptic number.

670212864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 670212864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969824856).

670212864 is an abundant number, since it is smaller than the sum of its proper divisors (1269436848).

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

670212864 is a wasteful number, since it uses less digits than its factorization.

670212864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 670212864 is about 25888.4697114372. The cubic root of 670212864 is about 875.1266707499.

The spelling of 670212864 in words is "six hundred seventy million, two hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 461 576 631 768 922 1152 1262 1383 1844 1893 2304 2524 2766 3688 3786 4149 5048 5532 5679 7376 7572 8298 10096 11064 11358 14752 15144 16596 20192 22128 22716 29504 30288 33192 40384 44256 45432 59008 60576 66384 80768 88512 90864 118016 121152 132768 161536 177024 181728 242304 265536 290891 354048 363456 484608 531072 581782 726912 872673 1062144 1163564 1453824 1745346 2327128 2618019 3490692 4654256 5236038 6981384 9308512 10472076 13962768 18617024 20944152 27925536 37234048 41888304 55851072 74468096 83776608 111702144 167553216 223404288 335106432 670212864