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12793080 = 23351931181
BaseRepresentation
bin110000110011…
…010011111000
3220001221210210
4300303103320
511233334310
61134111120
7213511416
oct60632370
926057723
1012793080
1172486a3
12434b4a0
13285bc91
1419b02b6
1511ca820
hexc334f8

12793080 has 128 divisors (see below), whose sum is σ = 41932800. Its totient is φ = 3110400.

The previous prime is 12793063. The next prime is 12793093. The reversal of 12793080 is 8039721.

It is a happy number.

12793080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70590 + ... + 70770.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 212793080 is an apocalyptic number.

12793080 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 12793080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966400).

12793080 is an abundant number, since it is smaller than the sum of its proper divisors (29139720).

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

12793080 is a wasteful number, since it uses less digits than its factorization.

12793080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 12793080 is about 3576.7415338545. The cubic root of 12793080 is about 233.8792568691.

The spelling of 12793080 in words is "twelve million, seven hundred ninety-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 31 38 40 57 60 62 76 93 95 114 120 124 152 155 181 186 190 228 248 285 310 362 372 380 456 465 543 570 589 620 724 744 760 905 930 1086 1140 1178 1240 1448 1767 1810 1860 2172 2280 2356 2715 2945 3439 3534 3620 3720 4344 4712 5430 5611 5890 6878 7068 7240 8835 10317 10860 11222 11780 13756 14136 16833 17195 17670 20634 21720 22444 23560 27512 28055 33666 34390 35340 41268 44888 51585 56110 67332 68780 70680 82536 84165 103170 106609 112220 134664 137560 168330 206340 213218 224440 319827 336660 412680 426436 533045 639654 673320 852872 1066090 1279308 1599135 2132180 2558616 3198270 4264360 6396540 12793080