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13464660 = 22351123887
BaseRepresentation
bin110011010111…
…010001010100
3221100002001010
4303113101110
511421332120
61200332220
7222306366
oct63272124
927302033
1013464660
117667220
124614070
132a35871
141b06d36
1512ae7e0
hexcd7454

13464660 has 96 divisors (see below), whose sum is σ = 42964992. Its totient is φ = 3118720.

The previous prime is 13464643. The next prime is 13464691. The reversal of 13464660 is 6646431.

13464660 is digitally balanced in base 2, because in such base 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 (30).

It is a congruent number.

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, 14737 + ... + 15623.

It is an arithmetic number, because the mean of its divisors is an integer number (447552).

Almost surely, 213464660 is an apocalyptic number.

13464660 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 13464660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21482496).

13464660 is an abundant number, since it is smaller than the sum of its proper divisors (29500332).

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

13464660 is a wasteful number, since it uses less digits than its factorization.

13464660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 13464660 is about 3669.4222978556. The cubic root of 13464660 is about 237.9022030699.

It can be divided in two parts, 1346 and 4660, that added together give a palindrome (6006).

The spelling of 13464660 in words is "thirteen million, four hundred sixty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 887 1012 1265 1380 1518 1774 2530 2661 3036 3548 3795 4435 5060 5322 7590 8870 9757 10644 13305 15180 17740 19514 20401 26610 29271 39028 40802 48785 53220 58542 61203 81604 97570 102005 117084 122406 146355 195140 204010 224411 244812 292710 306015 408020 448822 585420 612030 673233 897644 1122055 1224060 1346466 2244110 2692932 3366165 4488220 6732330 13464660