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12845280 = 253573823
BaseRepresentation
bin110001000000…
…000011100000
3220011121102010
4301000003200
511242022110
61135152520
7214116540
oct61000340
926147363
1012845280
117283938
124375740
132879976
1419c5320
1511db020
hexc400e0

12845280 has 96 divisors (see below), whose sum is σ = 46255104. Its totient is φ = 2935296.

The previous prime is 12845279. The next prime is 12845291. The reversal of 12845280 is 8254821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1449 + ... + 5271.

It is an arithmetic number, because the mean of its divisors is an integer number (481824).

Almost surely, 212845280 is an apocalyptic number.

12845280 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 12845280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23127552).

12845280 is an abundant number, since it is smaller than the sum of its proper divisors (33409824).

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

12845280 is a wasteful number, since it uses less digits than its factorization.

12845280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 12845280 is about 3584.0312498638. The cubic root of 12845280 is about 234.1969267824.

The spelling of 12845280 in words is "twelve million, eight hundred forty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 3823 7646 11469 15292 19115 22938 26761 30584 38230 45876 53522 57345 61168 76460 80283 91752 107044 114690 122336 133805 152920 160566 183504 214088 229380 267610 305840 321132 367008 401415 428176 458760 535220 611680 642264 802830 856352 917520 1070440 1284528 1605660 1835040 2140880 2569056 3211320 4281760 6422640 12845280