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700605020 = 2251743173277
BaseRepresentation
bin101001110000100…
…110001001011100
31210211022102102002
4221300212021130
52413323330040
6153304221432
723235021143
oct5160461134
91724272362
10700605020
1132a522a15
1217676a878
13b21c18ab
146909475a
1541791a15
hex29c2625c

700605020 has 96 divisors (see below), whose sum is σ = 1609046208. Its totient is φ = 255209472.

The previous prime is 700605019. The next prime is 700605029. The reversal of 700605020 is 20506007.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 700604983 and 700605001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (700605029) 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 31 ways as a sum of consecutive naturals, for example, 2529122 + ... + 2529398.

It is an arithmetic number, because the mean of its divisors is an integer number (16760898).

Almost surely, 2700605020 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 700605020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804523104).

700605020 is an abundant number, since it is smaller than the sum of its proper divisors (908441188).

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

700605020 is a wasteful number, since it uses less digits than its factorization.

700605020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 700605020 is about 26468.9444443861. The cubic root of 700605020 is about 888.1597374491.

The spelling of 700605020 in words is "seven hundred million, six hundred five thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 173 215 277 340 346 430 554 692 731 860 865 1108 1385 1462 1730 2770 2924 2941 3460 3655 4709 5540 5882 7310 7439 9418 11764 11911 14620 14705 14878 18836 23545 23822 29410 29756 37195 47090 47644 47921 58820 59555 74390 94180 95842 119110 126463 148780 191684 202487 238220 239605 252926 404974 479210 505852 632315 809948 814657 958420 1012435 1264630 1629314 2024870 2060603 2529260 3258628 4049740 4073285 4121206 8146570 8242412 10303015 16293140 20606030 35030251 41212060 70060502 140121004 175151255 350302510 700605020