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981330126 = 237192591097
BaseRepresentation
bin111010011111011…
…110100011001110
32112101112201212020
4322133132203032
54002210031001
6241213151010
733214111530
oct7237364316
92471481766
10981330126
11463a31937
1223478b466
1312840131a
149448b850
155b244736
hex3a7de8ce

981330126 has 96 divisors (see below), whose sum is σ = 2409626880. Its totient is φ = 260883072.

The previous prime is 981330073. The next prime is 981330149. The reversal of 981330126 is 621033189.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 894010 + ... + 895106.

It is an arithmetic number, because the mean of its divisors is an integer number (25100280).

Almost surely, 2981330126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981330126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204813440).

981330126 is an abundant number, since it is smaller than the sum of its proper divisors (1428296754).

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

981330126 is a wasteful number, since it uses less digits than its factorization.

981330126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 981330126 is about 31326.1891394405. The cubic root of 981330126 is about 993.7375725355.

The spelling of 981330126 in words is "nine hundred eighty-one million, three hundred thirty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 59 114 118 133 177 266 354 361 399 413 722 798 826 1083 1097 1121 1239 2166 2194 2242 2478 2527 3291 3363 5054 6582 6726 7581 7679 7847 15162 15358 15694 20843 21299 23037 23541 41686 42598 46074 47082 62529 63897 64723 125058 127794 129446 145901 149093 194169 291802 298186 388338 396017 437703 447279 453061 792034 875406 894558 906122 1188051 1229737 1359183 2376102 2459474 2718366 2772119 3689211 5544238 7378422 8316357 8608159 16632714 17216318 23365003 25824477 46730006 51648954 70095009 140190018 163555021 327110042 490665063 981330126