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130185900 = 223352133709
BaseRepresentation
bin1111100001001…
…11101010101100
3100001222010111000
413300213222230
5231311422100
620530200300
73140363505
oct760475254
9301863430
10130185900
1167539659
1237723090
1320c822a0
141340bbac
15b668900
hex7c27aac

130185900 has 144 divisors (see below), whose sum is σ = 450839200. Its totient is φ = 32037120.

The previous prime is 130185893. The next prime is 130185953. The reversal of 130185900 is 9581031.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 33246 + ... + 36954.

Almost surely, 2130185900 is an apocalyptic number.

130185900 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 130185900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225419600).

130185900 is an abundant number, since it is smaller than the sum of its proper divisors (320653300).

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

130185900 is a wasteful number, since it uses less digits than its factorization.

130185900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 130185900 is about 11409.9035929319. The cubic root of 130185900 is about 506.8210565588.

The spelling of 130185900 in words is "one hundred thirty million, one hundred eighty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 39 45 50 52 54 60 65 75 78 90 100 108 117 130 135 150 156 180 195 225 234 260 270 300 325 351 390 450 468 540 585 650 675 702 780 900 975 1170 1300 1350 1404 1755 1950 2340 2700 2925 3510 3709 3900 5850 7020 7418 8775 11127 11700 14836 17550 18545 22254 33381 35100 37090 44508 48217 55635 66762 74180 92725 96434 100143 111270 133524 144651 166905 185450 192868 200286 222540 241085 278175 289302 333810 370900 400572 433953 482170 500715 556350 578604 667620 723255 834525 867906 964340 1001430 1112700 1205425 1301859 1446510 1669050 1735812 2002860 2169765 2410850 2503575 2603718 2893020 3338100 3616275 4339530 4821700 5007150 5207436 6509295 7232550 8679060 10014300 10848825 13018590 14465100 21697650 26037180 32546475 43395300 65092950 130185900