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130773690 = 2345179497
BaseRepresentation
bin1111100101101…
…11001010111010
3100010001222210000
413302313022322
5231434224230
620550533430
73145362255
oct762671272
9303058700
10130773690
1167900233
1237967276
13211299a8
141352209c
15b732b60
hex7cb72ba

130773690 has 80 divisors (see below), whose sum is σ = 372359592. Its totient is φ = 32818176.

The previous prime is 130773683. The next prime is 130773743. The reversal of 130773690 is 96377031.

It can be written as a sum of positive squares in 4 ways, for example, as 89132481 + 41641209 = 9441^2 + 6453^2 .

It is a super-2 number, since 2×1307736902 = 34203515992432200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9022 + ... + 18518.

Almost surely, 2130773690 is an apocalyptic number.

130773690 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 130773690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186179796).

130773690 is an abundant number, since it is smaller than the sum of its proper divisors (241585902).

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

130773690 is a wasteful number, since it uses less digits than its factorization.

130773690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9533 (or 9524 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 130773690 is about 11435.6324704845. The cubic root of 130773690 is about 507.5826780133.

The spelling of 130773690 in words is "one hundred thirty million, seven hundred seventy-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 6885 9497 13770 18994 28491 47485 56982 85473 94970 142455 161449 170946 256419 284910 322898 427365 484347 512838 769257 807245 854730 968694 1282095 1453041 1538514 1614490 2421735 2564190 2906082 3846285 4359123 4843470 7265205 7692570 8718246 13077369 14530410 21795615 26154738 43591230 65386845 130773690