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130894200 = 23325272719
BaseRepresentation
bin1111100110101…
…00100101111000
3100010022010002100
413303110211320
5232002103300
620553303400
73146403513
oct763244570
9303263070
10130894200
1167982828
1237a04b60
132116c7b8
1413553d7a
15b758700
hex7cd4978

130894200 has 72 divisors (see below), whose sum is σ = 439592400. Its totient is φ = 34904640.

The previous prime is 130894189. The next prime is 130894207. The reversal of 130894200 is 2498031.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130894207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34560 + ... + 38159.

It is an arithmetic number, because the mean of its divisors is an integer number (6105450).

Almost surely, 2130894200 is an apocalyptic number.

130894200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130894200 is an abundant number, since it is smaller than the sum of its proper divisors (308698200).

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

130894200 is a wasteful number, since it uses less digits than its factorization.

130894200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72741 (or 72729 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 130894200 is about 11440.9003142235. The cubic root of 130894200 is about 507.7385452697.

The spelling of 130894200 in words is "one hundred thirty million, eight hundred ninety-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 72719 145438 218157 290876 363595 436314 581752 654471 727190 872628 1090785 1308942 1454380 1745256 1817975 2181570 2617884 2908760 3272355 3635950 4363140 5235768 5453925 6544710 7271900 8726280 10907850 13089420 14543800 16361775 21815700 26178840 32723550 43631400 65447100 130894200