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640641276 = 2232112612411
BaseRepresentation
bin100110001011110…
…110100011111100
31122122110221121200
4212023312203330
52303001010101
6143323055500
721606234552
oct4613664374
91578427550
10640641276
112a9697300
1215a671590
13a29582a2
1461125bd2
153b399986
hex262f68fc

640641276 has 108 divisors (see below), whose sum is σ = 1809931032. Its totient is φ = 190872000.

The previous prime is 640641247. The next prime is 640641299. The reversal of 640641276 is 672146046.

640641276 is a `hidden beast` number, since 6 + 4 + 0 + 641 + 2 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 640641276.

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 35 ways as a sum of consecutive naturals, for example, 264511 + ... + 266921.

Almost surely, 2640641276 is an apocalyptic number.

640641276 is a gapful number since it is divisible by the number (66) 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 640641276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904965516).

640641276 is an abundant number, since it is smaller than the sum of its proper divisors (1169289756).

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

640641276 is a wasteful number, since it uses less digits than its factorization.

640641276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 640641276 is about 25310.8924378419. The cubic root of 640641276 is about 862.0616106106.

The spelling of 640641276 in words is "six hundred forty million, six hundred forty-one thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 121 122 132 183 198 242 244 363 366 396 484 549 671 726 732 1089 1098 1342 1452 2013 2178 2196 2411 2684 4026 4356 4822 6039 7233 7381 8052 9644 12078 14466 14762 21699 22143 24156 26521 28932 29524 43398 44286 53042 66429 79563 86796 88572 106084 132858 147071 159126 238689 265716 291731 294142 318252 441213 477378 583462 588284 875193 882426 954756 1166924 1323639 1617781 1750386 1764852 2625579 2647278 3235562 3500772 4853343 5251158 5294556 6471124 9706686 10502316 14560029 17795591 19413372 29120058 35591182 53386773 58240116 71182364 106773546 160160319 213547092 320320638 640641276