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13208940 = 2233561401
BaseRepresentation
bin110010011000…
…110101101100
3220212002021000
4302120311230
511340141230
61151040300
7220163013
oct62306554
926762230
1013208940
117502088
124510090
132976354
141a7ba7a
15125db60
hexc98d6c

13208940 has 96 divisors (see below), whose sum is σ = 41872320. Its totient is φ = 3456000.

The previous prime is 13208917. The next prime is 13208957. The reversal of 13208940 is 4980231.

13208940 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 32740 + ... + 33140.

It is an arithmetic number, because the mean of its divisors is an integer number (436170).

Almost surely, 213208940 is an apocalyptic number.

13208940 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 13208940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20936160).

13208940 is an abundant number, since it is smaller than the sum of its proper divisors (28663380).

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

13208940 is a wasteful number, since it uses less digits than its factorization.

13208940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13208940 is about 3634.4105436783. The cubic root of 13208940 is about 236.3864920520.

The spelling of 13208940 in words is "thirteen million, two hundred eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 108 122 135 180 183 244 270 305 366 401 540 549 610 732 802 915 1098 1203 1220 1604 1647 1830 2005 2196 2406 2745 3294 3609 3660 4010 4812 5490 6015 6588 7218 8020 8235 10827 10980 12030 14436 16470 18045 21654 24060 24461 32940 36090 43308 48922 54135 72180 73383 97844 108270 122305 146766 216540 220149 244610 293532 366915 440298 489220 660447 733830 880596 1100745 1320894 1467660 2201490 2641788 3302235 4402980 6604470 13208940