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130609620 = 2232529131191
BaseRepresentation
bin1111100100011…
…11000111010100
3100002202122201100
413302033013110
5231414001440
620543230100
73144110031
oct762170724
9302678640
10130609620
11677a8a39
12378a8330
13210a00cb
14134bc388
15b6ee230
hex7c8f1d4

130609620 has 144 divisors (see below), whose sum is σ = 415134720. Its totient is φ = 33196800.

The previous prime is 130609613. The next prime is 130609631. The reversal of 130609620 is 26906031.

It is a happy number.

130609620 is a `hidden beast` number, since 1 + 30 + 6 + 0 + 9 + 620 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683725 + ... + 683915.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 2130609620 is an apocalyptic number.

130609620 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 130609620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207567360).

130609620 is an abundant number, since it is smaller than the sum of its proper divisors (284525100).

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

130609620 is a wasteful number, since it uses less digits than its factorization.

130609620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 130609620 is about 11428.4565887087. The cubic root of 130609620 is about 507.3703163833.

The spelling of 130609620 in words is "one hundred thirty million, six hundred nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 131 145 174 180 191 261 262 290 348 382 393 435 522 524 573 580 655 764 786 870 955 1044 1146 1179 1305 1310 1572 1719 1740 1910 1965 2292 2358 2610 2620 2865 3438 3799 3820 3930 4716 5220 5539 5730 5895 6876 7598 7860 8595 11078 11397 11460 11790 15196 16617 17190 18995 22156 22794 23580 25021 27695 33234 34191 34380 37990 45588 49851 50042 55390 56985 66468 68382 75063 75980 83085 99702 100084 110780 113970 125105 136764 150126 166170 170955 199404 225189 227940 249255 250210 300252 332340 341910 375315 450378 498510 500420 683820 725609 750630 900756 997020 1125945 1451218 1501260 2176827 2251890 2902436 3628045 4353654 4503780 6530481 7256090 8707308 10884135 13060962 14512180 21768270 26121924 32652405 43536540 65304810 130609620