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12770880 = 263553251
BaseRepresentation
bin110000101101…
…111001000000
3220000211100120
4300231321000
511232132010
61133420240
7213356613
oct60557100
926024316
1012770880
117232a51
12433a680
132851b45
1419a617a
1511c3e70
hexc2de40

12770880 has 112 divisors (see below), whose sum is σ = 41477184. Its totient is φ = 3328000.

The previous prime is 12770861. The next prime is 12770881. The reversal of 12770880 is 8807721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12770881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50755 + ... + 51005.

It is an arithmetic number, because the mean of its divisors is an integer number (370332).

Almost surely, 212770880 is an apocalyptic number.

12770880 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 12770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20738592).

12770880 is an abundant number, since it is smaller than the sum of its proper divisors (28706304).

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

12770880 is a wasteful number, since it uses less digits than its factorization.

12770880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 12770880 is about 3573.6368030341. The cubic root of 12770880 is about 233.7438939562.

The spelling of 12770880 in words is "twelve million, seven hundred seventy thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 159 160 192 212 240 251 265 318 320 424 480 502 530 636 753 795 848 960 1004 1060 1255 1272 1506 1590 1696 2008 2120 2510 2544 3012 3180 3392 3765 4016 4240 5020 5088 6024 6360 7530 8032 8480 10040 10176 12048 12720 13303 15060 16064 16960 20080 24096 25440 26606 30120 39909 40160 48192 50880 53212 60240 66515 79818 80320 106424 120480 133030 159636 199545 212848 240960 266060 319272 399090 425696 532120 638544 798180 851392 1064240 1277088 1596360 2128480 2554176 3192720 4256960 6385440 12770880