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130298382 = 23447109157
BaseRepresentation
bin1111100010000…
…11001000001110
3100002011211210000
413301003020032
5231324022012
620532425130
73141342444
oct761031016
9302154700
10130298382
1167606115
12377781a6
1320cc1546
141343ab94
15b68bddc
hex7c4320e

130298382 has 80 divisors (see below), whose sum is σ = 302829120. Its totient is φ = 41850432.

The previous prime is 130298351. The next prime is 130298393. The reversal of 130298382 is 283892031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 829848 + ... + 830004.

It is an arithmetic number, because the mean of its divisors is an integer number (3785364).

Almost surely, 2130298382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130298382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151414560).

130298382 is an abundant number, since it is smaller than the sum of its proper divisors (172530738).

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

130298382 is a wasteful number, since it uses less digits than its factorization.

130298382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 130298382 is about 11414.8316676156. The cubic root of 130298382 is about 506.9669807984.

The spelling of 130298382 in words is "one hundred thirty million, two hundred ninety-eight thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 109 141 157 162 218 282 314 327 423 471 654 846 942 981 1269 1413 1962 2538 2826 2943 3807 4239 5123 5886 7379 7614 8478 8829 10246 12717 14758 15369 17113 17658 22137 25434 30738 34226 44274 46107 51339 66411 92214 102678 132822 138321 154017 199233 276642 308034 398466 414963 462051 597699 804311 829926 924102 1195398 1386153 1608622 2412933 2772306 4825866 7238799 14477598 21716397 43432794 65149191 130298382