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12681480 = 2335731487
BaseRepresentation
bin110000011000…
…000100001000
3212212021201110
4300120010020
511221301410
61131450320
7212535150
oct60300410
925767643
1012681480
117181869
1242b69a0
132820246
141981760
1511a7720
hexc18108

12681480 has 128 divisors (see below), whose sum is σ = 44974080. Its totient is φ = 2799360.

The previous prime is 12681457. The next prime is 12681499. The reversal of 12681480 is 8418621.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25797 + ... + 26283.

It is an arithmetic number, because the mean of its divisors is an integer number (351360).

Almost surely, 212681480 is an apocalyptic number.

12681480 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 12681480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22487040).

12681480 is an abundant number, since it is smaller than the sum of its proper divisors (32292600).

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

12681480 is a wasteful number, since it uses less digits than its factorization.

12681480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 12681480 is about 3561.1065695932. The cubic root of 12681480 is about 233.1971904215.

The spelling of 12681480 in words is "twelve million, six hundred eighty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 487 620 651 744 840 868 930 974 1085 1240 1302 1461 1736 1860 1948 2170 2435 2604 2922 3255 3409 3720 3896 4340 4870 5208 5844 6510 6818 7305 8680 9740 10227 11688 13020 13636 14610 15097 17045 19480 20454 26040 27272 29220 30194 34090 40908 45291 51135 58440 60388 68180 75485 81816 90582 102270 105679 120776 136360 150970 181164 204540 211358 226455 301940 317037 362328 409080 422716 452910 528395 603880 634074 845432 905820 1056790 1268148 1585185 1811640 2113580 2536296 3170370 4227160 6340740 12681480