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12770904 = 2332959311
BaseRepresentation
bin110000101101…
…111001011000
3220000211101110
4300231321120
511232132104
61133420320
7213356646
oct60557130
926024343
1012770904
117232a73
12433a6a0
132851b63
1419a6196
1511c3e89
hexc2de58

12770904 has 64 divisors (see below), whose sum is σ = 33696000. Its totient is φ = 4027520.

The previous prime is 12770897. The next prime is 12770909. The reversal of 12770904 is 40907721.

12770904 = T405 + T406 + ... + T522.

12770904 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12770909) 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, 40909 + ... + 41219.

It is an arithmetic number, because the mean of its divisors is an integer number (526500).

Almost surely, 212770904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12770904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848000).

12770904 is an abundant number, since it is smaller than the sum of its proper divisors (20925096).

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

12770904 is a wasteful number, since it uses less digits than its factorization.

12770904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 12770904 is about 3573.6401609563. The cubic root of 12770904 is about 233.7440403792.

The spelling of 12770904 in words is "twelve million, seven hundred seventy thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 59 87 116 118 174 177 232 236 311 348 354 472 622 696 708 933 1244 1416 1711 1866 2488 3422 3732 5133 6844 7464 9019 10266 13688 18038 18349 20532 27057 36076 36698 41064 54114 55047 72152 73396 108228 110094 146792 216456 220188 440376 532121 1064242 1596363 2128484 3192726 4256968 6385452 12770904