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12679080 = 2335196783
BaseRepresentation
bin110000010111…
…011110101000
3212212011102120
4300113132220
511221212310
61131431240
7212525151
oct60273650
925764376
1012679080
11717aa87
1242b5520
13281c11b
141980928
1511a6b70
hexc177a8

12679080 has 128 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 3117312.

The previous prime is 12679063. The next prime is 12679081. The reversal of 12679080 is 8097621.

12679080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12679081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152719 + ... + 152801.

It is an arithmetic number, because the mean of its divisors is an integer number (321300).

Almost surely, 212679080 is an apocalyptic number.

12679080 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 12679080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

12679080 is an abundant number, since it is smaller than the sum of its proper divisors (28447320).

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

12679080 is a wasteful number, since it uses less digits than its factorization.

12679080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 12679080 is about 3560.7695797398. The cubic root of 12679080 is about 233.1824784539.

The spelling of 12679080 in words is "twelve million, six hundred seventy-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 67 76 83 95 114 120 134 152 166 190 201 228 249 268 285 332 335 380 402 415 456 498 536 570 664 670 760 804 830 996 1005 1140 1245 1273 1340 1577 1608 1660 1992 2010 2280 2490 2546 2680 3154 3320 3819 4020 4731 4980 5092 5561 6308 6365 7638 7885 8040 9462 9960 10184 11122 12616 12730 15276 15770 16683 18924 19095 22244 23655 25460 27805 30552 31540 33366 37848 38190 44488 47310 50920 55610 63080 66732 76380 83415 94620 105659 111220 133464 152760 166830 189240 211318 222440 316977 333660 422636 528295 633954 667320 845272 1056590 1267908 1584885 2113180 2535816 3169770 4226360 6339540 12679080