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13452660 = 22325135749
BaseRepresentation
bin110011010100…
…010101110100
3221022110120200
4303110111310
511420441120
61200200500
7222226404
oct63242564
927273520
1013452660
117659201
124609130
132a30270
141b02804
1512aae90
hexcd4574

13452660 has 72 divisors (see below), whose sum is σ = 43953000. Its totient is φ = 3310848.

The previous prime is 13452641. The next prime is 13452683. The reversal of 13452660 is 6625431.

13452660 is a `hidden beast` number, since 134 + 526 + 6 + 0 = 666.

13452660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 535824 + 12916836 = 732^2 + 3594^2 .

It is a super-2 number, since 2×134526602 = 361948122151200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535 + ... + 5214.

Almost surely, 213452660 is an apocalyptic number.

13452660 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 13452660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21976500).

13452660 is an abundant number, since it is smaller than the sum of its proper divisors (30500340).

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

13452660 is a wasteful number, since it uses less digits than its factorization.

13452660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5777 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 13452660 is about 3667.7867986021. The cubic root of 13452660 is about 237.8315075120.

It can be divided in two parts, 1345 and 2660, that added together give a triangular number (4005 = T89).

The spelling of 13452660 in words is "thirteen million, four hundred fifty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 5749 11498 17247 22996 28745 34494 51741 57490 68988 74737 86235 103482 114980 149474 172470 206964 224211 258705 298948 344940 373685 448422 517410 672633 747370 896844 1034820 1121055 1345266 1494740 2242110 2690532 3363165 4484220 6726330 13452660