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130803200 = 295211929
BaseRepresentation
bin1111100101111…
…10011000000000
3100010010111020222
413302332120000
5231441200300
620551322212
73145544303
oct762763000
9303114228
10130803200
1167920420
1237980368
132113a258
141352cb3a
15b73b785
hex7cbe600

130803200 has 120 divisors (see below), whose sum is σ = 353917080. Its totient is φ = 47513600.

The previous prime is 130803173. The next prime is 130803203. The reversal of 130803200 is 2308031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130803203) 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, 140336 + ... + 141264.

It is an arithmetic number, because the mean of its divisors is an integer number (2949309).

Almost surely, 2130803200 is an apocalyptic number.

130803200 is a gapful number since it is divisible by the number (10) 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 130803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176958540).

130803200 is an abundant number, since it is smaller than the sum of its proper divisors (223113880).

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

130803200 is an equidigital number, since it uses as much as digits as its factorization.

130803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 130803200 is about 11436.9226630244. The cubic root of 130803200 is about 507.6208550051.

The spelling of 130803200 in words is "one hundred thirty million, eight hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 512 550 640 704 800 880 929 1100 1280 1408 1600 1760 1858 2200 2560 2816 3200 3520 3716 4400 4645 5632 6400 7040 7432 8800 9290 10219 12800 14080 14864 17600 18580 20438 23225 28160 29728 35200 37160 40876 46450 51095 59456 70400 74320 81752 92900 102190 118912 140800 148640 163504 185800 204380 237824 255475 297280 327008 371600 408760 475648 510950 594560 654016 743200 817520 1021900 1189120 1308032 1486400 1635040 2043800 2378240 2616064 2972800 3270080 4087600 5232128 5945600 6540160 8175200 11891200 13080320 16350400 26160640 32700800 65401600 130803200