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12901056 = 263729331
BaseRepresentation
bin110001001101…
…101011000000
3220021102220220
4301031223000
511300313211
61140303040
7214441260
oct61155300
926242826
1012901056
117311833
1243a1a80
13289917c
1419db7a0
1511ec806
hexc4dac0

12901056 has 112 divisors (see below), whose sum is σ = 40477440. Its totient is φ = 3548160.

The previous prime is 12901043. The next prime is 12901081. The reversal of 12901056 is 65010921.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38811 + ... + 39141.

Almost surely, 212901056 is an apocalyptic number.

12901056 is a gapful number since it is divisible by the number (16) 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 12901056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20238720).

12901056 is an abundant number, since it is smaller than the sum of its proper divisors (27576384).

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

12901056 is a wasteful number, since it uses less digits than its factorization.

12901056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 12901056 is about 3591.8040035614. The cubic root of 12901056 is about 234.5354092643.

Adding to 12901056 its reverse (65010921), we get a palindrome (77911977).

It can be divided in two parts, 1290 and 1056, that added together give a triangular number (2346 = T68).

The spelling of 12901056 in words is "twelve million, nine hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 331 336 348 406 448 464 609 662 672 696 812 928 993 1218 1324 1344 1392 1624 1856 1986 2317 2436 2648 2784 3248 3972 4634 4872 5296 5568 6496 6951 7944 9268 9599 9744 10592 12992 13902 15888 18536 19198 19488 21184 27804 28797 31776 37072 38396 38976 55608 57594 63552 67193 74144 76792 111216 115188 134386 148288 153584 201579 222432 230376 268772 307168 403158 444864 460752 537544 614336 806316 921504 1075088 1612632 1843008 2150176 3225264 4300352 6450528 12901056