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12779130 = 23571331151
BaseRepresentation
bin110000101111…
…111001111010
3220001020200010
4300233321322
511232413010
61133522350
7213422640
oct60577172
926036603
1012779130
117239171
1243433b6
132855820
1419a9190
1511c6620
hexc2fe7a

12779130 has 128 divisors (see below), whose sum is σ = 39223296. Its totient is φ = 2592000.

The previous prime is 12779101. The next prime is 12779131. The reversal of 12779130 is 3197721.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12779131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84555 + ... + 84705.

It is an arithmetic number, because the mean of its divisors is an integer number (306432).

Almost surely, 212779130 is an apocalyptic number.

12779130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12779130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19611648).

12779130 is an abundant number, since it is smaller than the sum of its proper divisors (26444166).

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

12779130 is a wasteful number, since it uses less digits than its factorization.

12779130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212.

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 12779130 is about 3574.7909029760. The cubic root of 12779130 is about 233.7942160439.

The spelling of 12779130 in words is "twelve million, seven hundred seventy-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 31 35 39 42 62 65 70 78 91 93 105 130 151 155 182 186 195 210 217 273 302 310 390 403 434 453 455 465 546 651 755 806 906 910 930 1057 1085 1209 1302 1365 1510 1963 2015 2114 2170 2265 2418 2730 2821 3171 3255 3926 4030 4530 4681 5285 5642 5889 6045 6342 6510 8463 9362 9815 10570 11778 12090 13741 14043 14105 15855 16926 19630 23405 27482 28086 28210 29445 31710 32767 41223 42315 46810 58890 60853 65534 68705 70215 82446 84630 98301 121706 137410 140430 163835 182559 196602 206115 304265 327670 365118 412230 425971 491505 608530 851942 912795 983010 1277913 1825590 2129855 2555826 4259710 6389565 12779130