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130949766 = 232311092153
BaseRepresentation
bin1111100111000…
…10001010000110
3100010101221022100
413303202022012
5232010343031
620554412530
73150024513
oct763421206
9303357270
10130949766
1167a10552
1237a31146
132118bb8c
141356a30a
15b769de6
hex7ce2286

130949766 has 48 divisors (see below), whose sum is σ = 295701120. Its totient is φ = 41834880.

The previous prime is 130949747. The next prime is 130949779. The reversal of 130949766 is 667949031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59746 + ... + 61898.

It is an arithmetic number, because the mean of its divisors is an integer number (6160440).

Almost surely, 2130949766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130949766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147850560).

130949766 is an abundant number, since it is smaller than the sum of its proper divisors (164751354).

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

130949766 is a wasteful number, since it uses less digits than its factorization.

130949766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 130949766 is about 11443.3284493630. The cubic root of 130949766 is about 507.8103819355.

The spelling of 130949766 in words is "one hundred thirty million, nine hundred forty-nine thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 18 31 62 93 109 186 218 279 327 558 654 981 1962 2153 3379 4306 6459 6758 10137 12918 19377 20274 30411 38754 60822 66743 133486 200229 234677 400458 469354 600687 704031 1201374 1408062 2112093 4224186 7274987 14549974 21824961 43649922 65474883 130949766