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130768596 = 22327539791
BaseRepresentation
bin1111100101101…
…01111011010100
3100010001201210100
413302311323110
5231434043341
620550454100
73145341360
oct762657324
9303051710
10130768596
11678a7422
1237964330
132112758a
14135202a0
15b7313b6
hex7cb5ed4

130768596 has 72 divisors (see below), whose sum is σ = 384943104. Its totient is φ = 36653760.

The previous prime is 130768591. The next prime is 130768601. The reversal of 130768596 is 695867031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130768591) and next prime (130768601).

It is a super-2 number, since 2×1307685962 = 34200851399622432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130768591) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8461 + ... + 18251.

It is an arithmetic number, because the mean of its divisors is an integer number (5346432).

Almost surely, 2130768596 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130768596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192471552).

130768596 is an abundant number, since it is smaller than the sum of its proper divisors (254174508).

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

130768596 is a wasteful number, since it uses less digits than its factorization.

130768596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9861 (or 9856 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 130768596 is about 11435.4097434242. The cubic root of 130768596 is about 507.5760873406.

The spelling of 130768596 in words is "one hundred thirty million, seven hundred sixty-eight thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1908 2226 3339 4452 6678 9791 13356 19582 29373 39164 58746 68537 88119 117492 137074 176238 205611 274148 352476 411222 518923 616833 822444 1037846 1233666 1556769 2075692 2467332 3113538 3632461 4670307 6227076 7264922 9340614 10897383 14529844 18681228 21794766 32692149 43589532 65384298 130768596