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12472560 = 24325171019
BaseRepresentation
bin101111100101…
…000011110000
3212110200010200
4233211003300
511143110220
61123155200
7211005102
oct57450360
925420120
1012472560
117049901
124215b00
132779119
141929572
151165890
hexbe50f0

12472560 has 120 divisors (see below), whose sum is σ = 44394480. Its totient is φ = 3127296.

The previous prime is 12472547. The next prime is 12472567. The reversal of 12472560 is 6527421.

12472560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12472567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11731 + ... + 12749.

It is an arithmetic number, because the mean of its divisors is an integer number (369954).

Almost surely, 212472560 is an apocalyptic number.

12472560 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 12472560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22197240).

12472560 is an abundant number, since it is smaller than the sum of its proper divisors (31921920).

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

12472560 is a wasteful number, since it uses less digits than its factorization.

12472560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 12472560 is about 3531.6511719025. The cubic root of 12472560 is about 231.9094970023.

Adding to 12472560 its reverse (6527421), we get a palindrome (18999981).

The spelling of 12472560 in words is "twelve million, four hundred seventy-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1019 1020 1224 1360 1530 2038 2040 2448 3057 3060 4076 4080 5095 6114 6120 8152 9171 10190 12228 12240 15285 16304 17323 18342 20380 24456 30570 34646 36684 40760 45855 48912 51969 61140 69292 73368 81520 86615 91710 103938 122280 138584 146736 155907 173230 183420 207876 244560 259845 277168 311814 346460 366840 415752 519690 623628 692920 733680 779535 831504 1039380 1247256 1385840 1559070 2078760 2494512 3118140 4157520 6236280 12472560