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12980240 = 2457131783
BaseRepresentation
bin110001100001…
…000000010000
3220102110112122
4301201000100
511310331430
61142113412
7215221160
oct61410020
926373478
1012980240
117366279
12441b868
1328c6220
141a1c5a0
151215ee5
hexc61010

12980240 has 80 divisors (see below), whose sum is σ = 37164288. Its totient is φ = 4105728.

The previous prime is 12980221. The next prime is 12980263. The reversal of 12980240 is 4208921.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 6389 + ... + 8171.

Almost surely, 212980240 is an apocalyptic number.

12980240 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 12980240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18582144).

12980240 is an abundant number, since it is smaller than the sum of its proper divisors (24184048).

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

12980240 is a wasteful number, since it uses less digits than its factorization.

12980240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 12980240 is about 3602.8100144193. The cubic root of 12980240 is about 235.0142740688.

The spelling of 12980240 in words is "twelve million, nine hundred eighty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1783 1820 3566 3640 7132 7280 8915 12481 14264 17830 23179 24962 28528 35660 46358 49924 62405 71320 92716 99848 115895 124810 142640 162253 185432 199696 231790 249620 324506 370864 463580 499240 649012 811265 927160 998480 1298024 1622530 1854320 2596048 3245060 6490120 12980240