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12372480 = 29335179
BaseRepresentation
bin101111001100…
…101000000000
3212021120212000
4233030220000
511131404410
61121104000
7210110241
oct57145000
925246760
1012372480
116a9069a
124188000
1327426c3
141900cc8
151145dc0
hexbcca00

12372480 has 160 divisors (see below), whose sum is σ = 44193600. Its totient is φ = 3280896.

The previous prime is 12372469. The next prime is 12372499. The reversal of 12372480 is 8427321.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×123724802 = 306156522700800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 69031 + ... + 69209.

It is an arithmetic number, because the mean of its divisors is an integer number (276210).

Almost surely, 212372480 is an apocalyptic number.

12372480 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 12372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22096800).

12372480 is an abundant number, since it is smaller than the sum of its proper divisors (31821120).

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

12372480 is an equidigital number, since it uses as much as digits as its factorization.

12372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12372480 is about 3517.4536244278. The cubic root of 12372480 is about 231.2875488090.

The spelling of 12372480 in words is "twelve million, three hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 179 180 192 216 240 256 270 288 320 358 360 384 432 480 512 537 540 576 640 716 720 768 864 895 960 1074 1080 1152 1280 1432 1440 1536 1611 1728 1790 1920 2148 2160 2304 2560 2685 2864 2880 3222 3456 3580 3840 4296 4320 4608 4833 5370 5728 5760 6444 6912 7160 7680 8055 8592 8640 9666 10740 11456 11520 12888 13824 14320 16110 17184 17280 19332 21480 22912 23040 24165 25776 28640 32220 34368 34560 38664 42960 45824 48330 51552 57280 64440 68736 69120 77328 85920 91648 96660 103104 114560 128880 137472 154656 171840 193320 206208 229120 257760 274944 309312 343680 386640 412416 458240 515520 618624 687360 773280 824832 1031040 1237248 1374720 1546560 2062080 2474496 3093120 4124160 6186240 12372480