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130779360 = 2534510091
BaseRepresentation
bin1111100101110…
…00100011100000
3100010002021120000
413302320203200
5231434414420
620551020000
73145414635
oct762704340
9303067500
10130779360
1167904518
123796a600
132112c44a
141352418c
15b734690
hex7cb88e0

130779360 has 120 divisors (see below), whose sum is σ = 461587896. Its totient is φ = 34871040.

The previous prime is 130779353. The next prime is 130779361. The reversal of 130779360 is 63977031.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130779361) 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 19 ways as a sum of consecutive naturals, for example, 7915 + ... + 18005.

Almost surely, 2130779360 is an apocalyptic number.

130779360 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 130779360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230793948).

130779360 is an abundant number, since it is smaller than the sum of its proper divisors (330808536).

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

130779360 is a wasteful number, since it uses less digits than its factorization.

130779360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10118 (or 10101 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 130779360 is about 11435.8803771288. The cubic root of 130779360 is about 507.5900137197.

The spelling of 130779360 in words is "one hundred thirty million, seven hundred seventy-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 10091 12960 20182 30273 40364 50455 60546 80728 90819 100910 121092 151365 161456 181638 201820 242184 272457 302730 322912 363276 403640 454095 484368 544914 605460 726552 807280 817371 908190 968736 1089828 1210920 1362285 1453104 1614560 1634742 1816380 2179656 2421840 2724570 2906208 3269484 3632760 4086855 4359312 4843680 5449140 6538968 7265520 8173710 8718624 10898280 13077936 14531040 16347420 21796560 26155872 32694840 43593120 65389680 130779360