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12940480 = 265753109
BaseRepresentation
bin110001010111…
…010011000000
3220100110000001
4301113103000
511303043410
61141205344
7214664230
oct61272300
926313001
1012940480
117339413
124400854
1328b10b7
141a0bcc0
15120933a
hexc574c0

12940480 has 112 divisors (see below), whose sum is σ = 36210240. Its totient is φ = 4313088.

The previous prime is 12940469. The next prime is 12940493. The reversal of 12940480 is 8404921.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 118666 + ... + 118774.

Almost surely, 212940480 is an apocalyptic number.

12940480 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 12940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105120).

12940480 is an abundant number, since it is smaller than the sum of its proper divisors (23269760).

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

12940480 is a wasteful number, since it uses less digits than its factorization.

12940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 12940480 is about 3597.2878672689. The cubic root of 12940480 is about 234.7740698670.

The spelling of 12940480 in words is "twelve million, nine hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 70 80 106 109 112 140 160 212 218 224 265 280 320 371 424 436 448 530 545 560 742 763 848 872 1060 1090 1120 1484 1526 1696 1744 1855 2120 2180 2240 2968 3052 3392 3488 3710 3815 4240 4360 5777 5936 6104 6976 7420 7630 8480 8720 11554 11872 12208 14840 15260 16960 17440 23108 23744 24416 28885 29680 30520 34880 40439 46216 48832 57770 59360 61040 80878 92432 115540 118720 122080 161756 184864 202195 231080 244160 323512 369728 404390 462160 647024 808780 924320 1294048 1617560 1848640 2588096 3235120 6470240 12940480