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130982544 = 243271111813
BaseRepresentation
bin1111100111010…
…10001010010000
3100010110121021100
413303222022100
5232012420134
620555224400
73150222210
oct763521220
9303417240
10130982544
1167a33140
1237a48100
13211a0a84
1413578240
15b774999
hex7cea290

130982544 has 120 divisors (see below), whose sum is σ = 457060032. Its totient is φ = 34018560.

The previous prime is 130982543. The next prime is 130982567. The reversal of 130982544 is 445289031.

130982544 is a `hidden beast` number, since 1 + 30 + 9 + 82 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130982499 and 130982508.

It is not an unprimeable number, because it can be changed into a prime (130982543) by changing a digit.

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, 5182 + ... + 16994.

Almost surely, 2130982544 is an apocalyptic number.

130982544 is a gapful number since it is divisible by the number (14) 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 130982544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228530016).

130982544 is an abundant number, since it is smaller than the sum of its proper divisors (326077488).

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

130982544 is a wasteful number, since it uses less digits than its factorization.

130982544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11845 (or 11836 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 130982544 is about 11444.7605479538. The cubic root of 130982544 is about 507.8527483599.

The spelling of 130982544 in words is "one hundred thirty million, nine hundred eighty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 11813 23626 35439 47252 70878 82691 94504 106317 129943 141756 165382 189008 212634 248073 259886 283512 330764 389829 425268 496146 519772 567024 661528 744219 779658 850536 909601 992292 1039544 1169487 1323056 1488438 1559316 1701072 1819202 1984584 2079088 2338974 2728803 2976876 3118632 3638404 3969168 4677948 5457606 5953752 6237264 7276808 8186409 9355896 10915212 11907504 14553616 16372818 18711792 21830424 32745636 43660848 65491272 130982544