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12641280 = 21035823
BaseRepresentation
bin110000001110…
…010000000000
3212210020120120
4300032100000
511214010110
61130540240
7212310021
oct60162000
925706516
1012641280
117154643
124297680
132807b62
141970c48
15119a870
hexc0e400

12641280 has 88 divisors (see below), whose sum is σ = 40481472. Its totient is φ = 3366912.

The previous prime is 12641263. The next prime is 12641297. The reversal of 12641280 is 8214621.

It is an interprime number because it is at equal distance from previous prime (12641263) and next prime (12641297).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12641280.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14949 + ... + 15771.

Almost surely, 212641280 is an apocalyptic number.

12641280 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 12641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20240736).

12641280 is an abundant number, since it is smaller than the sum of its proper divisors (27840192).

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

12641280 is an equidigital number, since it uses as much as digits as its factorization.

12641280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12641280 is about 3555.4577764333. The cubic root of 12641280 is about 232.9505196802.

It can be divided in two parts, 12641 and 280, that added together give a palindrome (12921).

The spelling of 12641280 in words is "twelve million, six hundred forty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 823 960 1024 1280 1536 1646 1920 2469 2560 3072 3292 3840 4115 4938 5120 6584 7680 8230 9876 12345 13168 15360 16460 19752 24690 26336 32920 39504 49380 52672 65840 79008 98760 105344 131680 158016 197520 210688 263360 316032 395040 421376 526720 632064 790080 842752 1053440 1264128 1580160 2106880 2528256 3160320 4213760 6320640 12641280