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130843272 = 233719179229
BaseRepresentation
bin1111100110010…
…00001010001000
3100010012112020010
413303020022020
5231443441042
620552231520
73146102160
oct763101210
9303175203
10130843272
116794853a
123799b5a0
1321152571
141353d5a0
15b74859c
hex7cc8288

130843272 has 128 divisors (see below), whose sum is σ = 397440000. Its totient is φ = 35064576.

The previous prime is 130843267. The next prime is 130843303. The reversal of 130843272 is 272348031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571254 + ... + 571482.

It is an arithmetic number, because the mean of its divisors is an integer number (3105000).

Almost surely, 2130843272 is an apocalyptic number.

130843272 is a gapful number since it is divisible by the number (12) 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 130843272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198720000).

130843272 is an abundant number, since it is smaller than the sum of its proper divisors (266596728).

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

130843272 is a wasteful number, since it uses less digits than its factorization.

130843272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 130843272 is about 11438.6743987230. The cubic root of 130843272 is about 507.6726868309.

The spelling of 130843272 in words is "one hundred thirty million, eight hundred forty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 179 228 229 266 358 399 456 458 532 537 687 716 798 916 1064 1074 1253 1374 1432 1596 1603 1832 2148 2506 2748 3192 3206 3401 3759 4296 4351 4809 5012 5496 6412 6802 7518 8702 9618 10024 10203 12824 13053 13604 15036 17404 19236 20406 23807 26106 27208 30072 30457 34808 38472 40812 40991 47614 52212 60914 71421 81624 81982 91371 95228 104424 121828 122973 142842 163964 182742 190456 243656 245946 285684 286937 327928 365484 491892 571368 573874 730968 778829 860811 983784 1147748 1557658 1721622 2295496 2336487 3115316 3443244 4672974 5451803 6230632 6886488 9345948 10903606 16355409 18691896 21807212 32710818 43614424 65421636 130843272