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130678920 = 2334553761
BaseRepresentation
bin1111100101000…
…00000010001000
3100002220011210000
413302200002020
5231423211140
620544523000
73144516051
oct762400210
9302804700
10130678920
1167846009
1237920460
13210c5808
14134d9728
15b714a30
hex7ca0088

130678920 has 160 divisors (see below), whose sum is σ = 448101720. Its totient is φ = 34145280.

The previous prime is 130678913. The next prime is 130678921. The reversal of 130678920 is 29876031.

It can be written as a sum of positive squares in 4 ways, for example, as 74338884 + 56340036 = 8622^2 + 7506^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130678921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171340 + ... + 172100.

Almost surely, 2130678920 is an apocalyptic number.

130678920 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 130678920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224050860).

130678920 is an abundant number, since it is smaller than the sum of its proper divisors (317422800).

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

130678920 is a wasteful number, since it uses less digits than its factorization.

130678920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 130678920 is about 11431.4880921077. The cubic root of 130678920 is about 507.4600355177.

The spelling of 130678920 in words is "one hundred thirty million, six hundred seventy-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 81 90 106 108 120 135 159 162 180 212 216 265 270 318 324 360 405 424 477 530 540 636 648 761 795 810 954 1060 1080 1272 1431 1522 1590 1620 1908 2120 2283 2385 2862 3044 3180 3240 3805 3816 4293 4566 4770 5724 6088 6360 6849 7155 7610 8586 9132 9540 11415 11448 13698 14310 15220 17172 18264 19080 20547 21465 22830 27396 28620 30440 34245 34344 40333 41094 42930 45660 54792 57240 61641 68490 80666 82188 85860 91320 102735 120999 123282 136980 161332 164376 171720 201665 205470 241998 246564 273960 308205 322664 362997 403330 410940 483996 493128 604995 616410 725994 806660 821880 967992 1088991 1209990 1232820 1451988 1613320 1814985 2177982 2419980 2465640 2903976 3266973 3629970 4355964 4839960 5444955 6533946 7259940 8711928 10889910 13067892 14519880 16334865 21779820 26135784 32669730 43559640 65339460 130678920