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84753630 = 232513107677
BaseRepresentation
bin1010000110100…
…11110011011110
312220110221010100
411003103303132
5133144104010
612224321530
72046252063
oct503236336
9186427110
1084753630
1143928725
12244732a6
1314735ca0
14b382c6a
1576922c0
hex50d3cde

84753630 has 96 divisors (see below), whose sum is σ = 239881824. Its totient is φ = 20636928.

The previous prime is 84753629. The next prime is 84753667. The reversal of 84753630 is 3635748.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124852 + ... + 125528.

It is an arithmetic number, because the mean of its divisors is an integer number (2498769).

Almost surely, 284753630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84753630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119940912).

84753630 is an abundant number, since it is smaller than the sum of its proper divisors (155128194).

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

84753630 is a wasteful number, since it uses less digits than its factorization.

84753630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 84753630 is about 9206.1734721870. The cubic root of 84753630 is about 439.2577534114.

The spelling of 84753630 in words is "eighty-four million, seven hundred fifty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 107 117 130 195 214 234 321 390 535 585 642 677 963 1070 1170 1354 1391 1605 1926 2031 2782 3210 3385 4062 4173 4815 6093 6770 6955 8346 8801 9630 10155 12186 12519 13910 17602 20310 20865 25038 26403 30465 41730 44005 52806 60930 62595 72439 79209 88010 125190 132015 144878 158418 217317 264030 362195 396045 434634 651951 724390 792090 941707 1086585 1303902 1883414 2173170 2825121 3259755 4708535 5650242 6519510 8475363 9417070 14125605 16950726 28251210 42376815 84753630