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130673000 = 2353149877
BaseRepresentation
bin1111100100111…
…10100101101000
3100002212212122202
413302132211220
5231423014000
620544435332
73144462563
oct762364550
9302785582
10130673000
1167841617
1237918b48
13210c2c03
14134d74da
15b712dd5
hex7c9e968

130673000 has 64 divisors (see below), whose sum is σ = 308178000. Its totient is φ = 51859200.

The previous prime is 130672987. The next prime is 130673003. The reversal of 130673000 is 376031.

It can be written as a sum of positive squares in 8 ways, for example, as 2937796 + 127735204 = 1714^2 + 11302^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (130673003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148562 + ... + 149438.

Almost surely, 2130673000 is an apocalyptic number.

130673000 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 130673000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154089000).

130673000 is an abundant number, since it is smaller than the sum of its proper divisors (177505000).

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

130673000 is a wasteful number, since it uses less digits than its factorization.

130673000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 130673000 is about 11431.2291552571. The cubic root of 130673000 is about 507.4523724384.

The spelling of 130673000 in words is "one hundred thirty million, six hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 149 200 250 298 500 596 745 877 1000 1192 1490 1754 2980 3508 3725 4385 5960 7016 7450 8770 14900 17540 18625 21925 29800 35080 37250 43850 74500 87700 109625 130673 149000 175400 219250 261346 438500 522692 653365 877000 1045384 1306730 2613460 3266825 5226920 6533650 13067300 16334125 26134600 32668250 65336500 130673000