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12979080 = 23325311163
BaseRepresentation
bin110001100000…
…101110001000
3220102101221200
4301200232020
511310312310
61142104200
7215214612
oct61405610
926371850
1012979080
117365414
12441b060
1328c583a
141a1bdb2
1512159c0
hexc60b88

12979080 has 96 divisors (see below), whose sum is σ = 43580160. Its totient is φ = 3346560.

The previous prime is 12979069. The next prime is 12979081. The reversal of 12979080 is 8097921.

It is a happy number.

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 (12979081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10579 + ... + 11741.

It is an arithmetic number, because the mean of its divisors is an integer number (453960).

Almost surely, 212979080 is an apocalyptic number.

12979080 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 12979080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21790080).

12979080 is an abundant number, since it is smaller than the sum of its proper divisors (30601080).

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

12979080 is a wasteful number, since it uses less digits than its factorization.

12979080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 12979080 is about 3602.6490253701. The cubic root of 12979080 is about 235.0072730509.

The spelling of 12979080 in words is "twelve million, nine hundred seventy-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1163 1240 1395 1860 2232 2326 2790 3489 3720 4652 5580 5815 6978 9304 10467 11160 11630 13956 17445 20934 23260 27912 34890 36053 41868 46520 52335 69780 72106 83736 104670 108159 139560 144212 180265 209340 216318 288424 324477 360530 418680 432636 540795 648954 721060 865272 1081590 1297908 1442120 1622385 2163180 2595816 3244770 4326360 6489540 12979080