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130403000 = 23537131433
BaseRepresentation
bin1111100010111…
…00101010111000
3100002101011021202
413301130222320
5231340344000
620534553332
73142256450
oct761345270
9302334252
10130403000
1167677782
1237808848
132102a050
1413466d60
15b6acdd5
hex7c5cab8

130403000 has 128 divisors (see below), whose sum is σ = 375822720. Its totient is φ = 41241600.

The previous prime is 130402981. The next prime is 130403057. The reversal of 130403000 is 304031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90284 + ... + 91716.

It is an arithmetic number, because the mean of its divisors is an integer number (2936115).

Almost surely, 2130403000 is an apocalyptic number.

130403000 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 130403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187911360).

130403000 is an abundant number, since it is smaller than the sum of its proper divisors (245419720).

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

130403000 is a wasteful number, since it uses less digits than its factorization.

130403000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 130403000 is about 11419.4132949114. The cubic root of 130403000 is about 507.1026276172.

Adding to 130403000 its reverse (304031), we get a palindrome (130707031).

The spelling of 130403000 in words is "one hundred thirty million, four hundred three thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1433 1625 1750 1820 2275 2600 2866 3250 3500 3640 4550 5732 6500 7000 7165 9100 10031 11375 11464 13000 14330 18200 18629 20062 22750 28660 35825 37258 40124 45500 50155 57320 71650 74516 80248 91000 93145 100310 130403 143300 149032 179125 186290 200620 250775 260806 286600 358250 372580 401240 465725 501550 521612 652015 716500 745160 931450 1003100 1043224 1253875 1304030 1433000 1862900 2006200 2328625 2507750 2608060 3260075 3725800 4657250 5015500 5216120 6520150 9314500 10031000 13040300 16300375 18629000 26080600 32600750 65201500 130403000