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12877056 = 283723
BaseRepresentation
bin110001000111…
…110100000000
3220020020000000
4301013310000
511244031211
61140000000
7214311303
oct61076400
926206000
1012877056
1172a57a5
124390000
13288b27a
1419d2b3a
1511e5656
hexc47d00

12877056 has 144 divisors (see below), whose sum is σ = 40225920. Its totient is φ = 4105728.

The previous prime is 12877037. The next prime is 12877061. The reversal of 12877056 is 65077821.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12877056.

It is a congruent number.

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, 559861 + ... + 559883.

Almost surely, 212877056 is an apocalyptic number.

12877056 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 12877056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20112960).

12877056 is an abundant number, since it is smaller than the sum of its proper divisors (27348864).

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

12877056 is an frugal number, since it uses more digits than its factorization.

12877056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 12877056 is about 3588.4615087806. The cubic root of 12877056 is about 234.3898825750.

The spelling of 12877056 in words is "twelve million, eight hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 128 138 144 162 184 192 207 216 243 256 276 288 324 368 384 414 432 486 552 576 621 648 729 736 768 828 864 972 1104 1152 1242 1296 1458 1472 1656 1728 1863 1944 2187 2208 2304 2484 2592 2916 2944 3312 3456 3726 3888 4374 4416 4968 5184 5589 5832 5888 6624 6912 7452 7776 8748 8832 9936 10368 11178 11664 13248 14904 15552 16767 17496 17664 19872 20736 22356 23328 26496 29808 31104 33534 34992 39744 44712 46656 50301 52992 59616 62208 67068 69984 79488 89424 93312 100602 119232 134136 139968 158976 178848 186624 201204 238464 268272 279936 357696 402408 476928 536544 559872 715392 804816 1073088 1430784 1609632 2146176 3219264 4292352 6438528 12877056