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5684960700 = 22365277983
BaseRepresentation
bin1010100101101100…
…11001110110111100
3112200012020221000000
411102312121312330
543120322220300
62340040234300
7260610240306
oct52266316674
915605227000
105684960700
112458015131
121127a6b990
136c7a33793
143bd042976
15234157c00
hex152d99dbc

5684960700 has 126 divisors (see below), whose sum is σ = 18496323104. Its totient is φ = 1515970080.

The previous prime is 5684960693. The next prime is 5684960711. The reversal of 5684960700 is 70694865.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 33909 + ... + 111891.

Almost surely, 25684960700 is an apocalyptic number.

5684960700 is a gapful number since it is divisible by the number (50) 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 5684960700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9248161552).

5684960700 is an abundant number, since it is smaller than the sum of its proper divisors (12811362404).

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

5684960700 is a wasteful number, since it uses less digits than its factorization.

5684960700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78015 (or 77993 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5684960700 is about 75398.6783703799. The cubic root of 5684960700 is about 1784.7435547134.

The spelling of 5684960700 in words is "five billion, six hundred eighty-four million, nine hundred sixty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 729 810 900 972 1215 1350 1458 1620 2025 2430 2700 2916 3645 4050 4860 6075 7290 8100 12150 14580 18225 24300 36450 72900 77983 155966 233949 311932 389915 467898 701847 779830 935796 1169745 1403694 1559660 1949575 2105541 2339490 2807388 3509235 3899150 4211082 4678980 5848725 6316623 7018470 7798300 8422164 10527705 11697450 12633246 14036940 17546175 18949869 21055410 23394900 25266492 31583115 35092350 37899738 42110820 52638525 56849607 63166230 70184700 75799476 94749345 105277050 113699214 126332460 157915575 189498690 210554100 227398428 284248035 315831150 378997380 473746725 568496070 631662300 947493450 1136992140 1421240175 1894986900 2842480350 5684960700