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130461888 = 2632331953
BaseRepresentation
bin1111100011010…
…11000011000000
3100002111011001210
413301223003000
5231344240023
620540130120
73142623234
oct761530300
9302434053
10130461888
1167707a47
1237836940
132104aaab
14134805c4
15b6c0593
hex7c6b0c0

130461888 has 112 divisors (see below), whose sum is σ = 372197376. Its totient is φ = 40212480.

The previous prime is 130461887. The next prime is 130461899. The reversal of 130461888 is 888164031.

It is not an unprimeable number, because it can be changed into a prime (130461883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136420 + ... + 137372.

Almost surely, 2130461888 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 130461888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186098688).

130461888 is an abundant number, since it is smaller than the sum of its proper divisors (241735488).

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

130461888 is a wasteful number, since it uses less digits than its factorization.

130461888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 130461888 is about 11421.9914200633. The cubic root of 130461888 is about 507.1789493929.

The spelling of 130461888 in words is "one hundred thirty million, four hundred sixty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 92 93 96 124 138 184 186 192 248 276 368 372 496 552 713 736 744 953 992 1104 1426 1472 1488 1906 1984 2139 2208 2852 2859 2976 3812 4278 4416 5704 5718 5952 7624 8556 11408 11436 15248 17112 21919 22816 22872 29543 30496 34224 43838 45632 45744 59086 60992 65757 68448 87676 88629 91488 118172 131514 136896 175352 177258 182976 236344 263028 350704 354516 472688 526056 679489 701408 709032 945376 1052112 1358978 1402816 1418064 1890752 2038467 2104224 2717956 2836128 4076934 4208448 5435912 5672256 8153868 10871824 16307736 21743648 32615472 43487296 65230944 130461888