Search a number
-
+
130673250 = 23753239
BaseRepresentation
bin1111100100111…
…10101001100010
3100002212220000000
413302132221202
5231423021000
620544440430
73144463401
oct762365142
9302786000
10130673250
1167841824
1237919116
13210c3066
14134d7638
15b713000
hex7c9ea62

130673250 has 128 divisors (see below), whose sum is σ = 368409600. Its totient is φ = 34700400.

The previous prime is 130673239. The next prime is 130673251. The reversal of 130673250 is 52376031.

130673250 = T1383 + T1384 + ... + T1507.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130673251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 546631 + ... + 546869.

It is an arithmetic number, because the mean of its divisors is an integer number (2878200).

Almost surely, 2130673250 is an apocalyptic number.

130673250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130673250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184204800).

130673250 is an abundant number, since it is smaller than the sum of its proper divisors (237736350).

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

130673250 is an frugal number, since it uses more digits than its factorization.

130673250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 130673250 is about 11431.2400902089. The cubic root of 130673250 is about 507.4526960528.

It can be divided in two parts, 130 and 673250, that added together give a triangular number (673380 = T1160).

The spelling of 130673250 in words is "one hundred thirty million, six hundred seventy-three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 125 135 150 162 225 239 243 250 270 375 405 450 478 486 675 717 729 750 810 1125 1195 1215 1350 1434 1458 2025 2151 2187 2250 2390 2430 3375 3585 3645 4050 4302 4374 5975 6075 6453 6750 7170 7290 10125 10755 10935 11950 12150 12906 17925 18225 19359 20250 21510 21870 29875 30375 32265 35850 36450 38718 53775 54675 58077 59750 60750 64530 89625 91125 96795 107550 109350 116154 161325 174231 179250 182250 193590 268875 273375 290385 322650 348462 483975 522693 537750 546750 580770 806625 871155 967950 1045386 1451925 1613250 1742310 2419875 2613465 2903850 4355775 4839750 5226930 7259625 8711550 13067325 14519250 21778875 26134650 43557750 65336625 130673250