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130929246 = 23271815741
BaseRepresentation
bin1111100110111…
…01001001011110
3100010100220011100
413303131021132
5232004213441
620554133530
73146610630
oct763351136
9303326140
10130929246
11679a7098
1237a212a6
1321182736
1413562a50
15b763cb6
hex7cdd25e

130929246 has 48 divisors (see below), whose sum is σ = 326053728. Its totient is φ = 37195200.

The previous prime is 130929221. The next prime is 130929269. The reversal of 130929246 is 642929031.

It is a super-3 number, since 3×1309292463 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130929246.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 19936 + ... + 25676.

It is an arithmetic number, because the mean of its divisors is an integer number (6792786).

Almost surely, 2130929246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130929246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163026864).

130929246 is an abundant number, since it is smaller than the sum of its proper divisors (195124482).

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

130929246 is a wasteful number, since it uses less digits than its factorization.

130929246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5937 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 130929246 is about 11442.4318219511. The cubic root of 130929246 is about 507.7838556990.

The spelling of 130929246 in words is "one hundred thirty million, nine hundred twenty-nine thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 181 362 543 1086 1267 1629 2534 3258 3801 5741 7602 11403 11482 17223 22806 34446 40187 51669 80374 103338 120561 241122 361683 723366 1039121 2078242 3117363 6234726 7273847 9352089 14547694 18704178 21821541 43643082 65464623 130929246