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130126800 = 24352108439
BaseRepresentation
bin1111100000110…
…01001111010000
3100001212010102010
413300121033100
5231303024200
620525022520
73140026266
oct760311720
9301763363
10130126800
11674a9211
12376b4a40
1320c6140b
14133d4436
15b656150
hex7c193d0

130126800 has 60 divisors (see below), whose sum is σ = 416843360. Its totient is φ = 34700160.

The previous prime is 130126783. The next prime is 130126813. The reversal of 130126800 is 8621031.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

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, 53020 + ... + 55419.

Almost surely, 2130126800 is an apocalyptic number.

130126800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130126800 is an abundant number, since it is smaller than the sum of its proper divisors (286716560).

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

130126800 is a wasteful number, since it uses less digits than its factorization.

130126800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108460 (or 108449 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 130126800 is about 11407.3134435764. The cubic root of 130126800 is about 506.7443517386.

Adding to 130126800 its reverse (8621031), we get a palindrome (138747831).

The spelling of 130126800 in words is "one hundred thirty million, one hundred twenty-six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 108439 216878 325317 433756 542195 650634 867512 1084390 1301268 1626585 1735024 2168780 2602536 2710975 3253170 4337560 5205072 5421950 6506340 8132925 8675120 10843900 13012680 16265850 21687800 26025360 32531700 43375600 65063400 130126800