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130773760 = 2851329271
BaseRepresentation
bin1111100101101…
…11001100000000
3100010001222212121
413302313030000
5231434230020
620550534024
73145362415
oct762671400
9303058777
10130773760
1167900297
1237967314
1321129a30
141352210c
15b732baa
hex7cb7300

130773760 has 144 divisors (see below), whose sum is σ = 350259840. Its totient is φ = 46448640.

The previous prime is 130773757. The next prime is 130773803. The reversal of 130773760 is 67377031.

130773760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 482425 + ... + 482695.

It is an arithmetic number, because the mean of its divisors is an integer number (2432360).

Almost surely, 2130773760 is an apocalyptic number.

130773760 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 130773760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175129920).

130773760 is an abundant number, since it is smaller than the sum of its proper divisors (219486080).

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

130773760 is a wasteful number, since it uses less digits than its factorization.

130773760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 34.

The square root of 130773760 is about 11435.6355310931. The cubic root of 130773760 is about 507.5827685788.

The spelling of 130773760 in words is "one hundred thirty million, seven hundred seventy-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 64 65 80 104 116 128 130 145 160 208 232 256 260 271 290 320 377 416 464 520 542 580 640 754 832 928 1040 1084 1160 1280 1355 1508 1664 1856 1885 2080 2168 2320 2710 3016 3328 3523 3712 3770 4160 4336 4640 5420 6032 7046 7424 7540 7859 8320 8672 9280 10840 12064 14092 15080 15718 16640 17344 17615 18560 21680 24128 28184 30160 31436 34688 35230 37120 39295 43360 48256 56368 60320 62872 69376 70460 78590 86720 96512 102167 112736 120640 125744 140920 157180 173440 204334 225472 241280 251488 281840 314360 346880 408668 450944 482560 502976 510835 563680 628720 817336 901888 1005952 1021670 1127360 1257440 1634672 2011904 2043340 2254720 2514880 3269344 4086680 4509440 5029760 6538688 8173360 10059520 13077376 16346720 26154752 32693440 65386880 130773760