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130118880 = 2535307883
BaseRepresentation
bin1111100000101…
…11010011100000
3100001211201112210
413300113103200
5231302301010
620524522120
73136664223
oct760272340
9301751483
10130118880
11674a3271
12376b0340
1320c5a928
14133d15ba
15b653b20
hex7c174e0

130118880 has 96 divisors (see below), whose sum is σ = 411675264. Its totient is φ = 34546176.

The previous prime is 130118861. The next prime is 130118881. The reversal of 130118880 is 88811031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130118881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146919 + ... + 147801.

It is an arithmetic number, because the mean of its divisors is an integer number (4288284).

Almost surely, 2130118880 is an apocalyptic number.

130118880 is a gapful number since it is divisible by the number (10) 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 130118880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205837632).

130118880 is an abundant number, since it is smaller than the sum of its proper divisors (281556384).

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

130118880 is a wasteful number, since it uses less digits than its factorization.

130118880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 130118880 is about 11406.9662925775. The cubic root of 130118880 is about 506.7340707494.

The spelling of 130118880 in words is "one hundred thirty million, one hundred eighteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 307 480 614 883 921 1228 1535 1766 1842 2456 2649 3070 3532 3684 4415 4605 4912 5298 6140 7064 7368 8830 9210 9824 10596 12280 13245 14128 14736 17660 18420 21192 24560 26490 28256 29472 35320 36840 42384 49120 52980 70640 73680 84768 105960 141280 147360 211920 271081 423840 542162 813243 1084324 1355405 1626486 2168648 2710810 3252972 4066215 4337296 5421620 6505944 8132430 8674592 10843240 13011888 16264860 21686480 26023776 32529720 43372960 65059440 130118880