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130180284 = 22341331997
BaseRepresentation
bin1111100001001…
…10010010111100
3100001221211210000
413300212102330
5231311232114
620530114300
73140341233
oct760462274
9301854700
10130180284
1167535413
123771b990
1320c7c870
1413409b1a
15b666e09
hex7c264bc

130180284 has 120 divisors (see below), whose sum is σ = 378697088. Its totient is φ = 38724480.

The previous prime is 130180279. The next prime is 130180363. The reversal of 130180284 is 482081031.

130180284 is a `hidden beast` number, since 1 + 301 + 80 + 284 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 130074 + ... + 131070.

Almost surely, 2130180284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130180284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189348544).

130180284 is an abundant number, since it is smaller than the sum of its proper divisors (248516804).

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

130180284 is a wasteful number, since it uses less digits than its factorization.

130180284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 130180284 is about 11409.6574882860. The cubic root of 130180284 is about 506.8137686524.

The spelling of 130180284 in words is "one hundred thirty million, one hundred eighty thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 81 93 108 117 124 156 162 186 234 279 324 351 372 403 468 558 702 806 837 997 1053 1116 1209 1404 1612 1674 1994 2106 2418 2511 2991 3348 3627 3988 4212 4836 5022 5982 7254 8973 10044 10881 11964 12961 14508 17946 21762 25922 26919 30907 32643 35892 38883 43524 51844 53838 61814 65286 77766 80757 92721 107676 116649 123628 130572 155532 161514 185442 233298 278163 323028 349947 370884 401791 466596 556326 699894 803582 834489 1049841 1112652 1205373 1399788 1607164 1668978 2099682 2410746 2503467 3337956 3616119 4199364 4821492 5006934 7232238 10013868 10848357 14464476 21696714 32545071 43393428 65090142 130180284