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13132620 = 2232572959
BaseRepresentation
bin110010000110…
…001101001100
3220201012120100
4302012031030
511330220440
61145251100
7216424344
oct62061514
926635510
1013132620
11745a806
124493a90
13294a6a7
141a5bd24
151246230
hexc8634c

13132620 has 36 divisors (see below), whose sum is σ = 39836160. Its totient is φ = 3501984.

The previous prime is 13132589. The next prime is 13132643. The reversal of 13132620 is 2623131.

13132620 = T167 + T168 + ... + T436.

13132620 is a `hidden beast` number, since 13 + 1 + 32 + 620 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13132593 and 13132602.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36300 + ... + 36659.

It is an arithmetic number, because the mean of its divisors is an integer number (1106560).

Almost surely, 213132620 is an apocalyptic number.

13132620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132620 is an abundant number, since it is smaller than the sum of its proper divisors (26703540).

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

13132620 is a wasteful number, since it uses less digits than its factorization.

13132620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72974 (or 72969 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13132620 is about 3623.8956938632. The cubic root of 13132620 is about 235.9303394900.

Adding to 13132620 its reverse (2623131), we get a palindrome (15755751).

The spelling of 13132620 in words is "thirteen million, one hundred thirty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 72959 145918 218877 291836 364795 437754 656631 729590 875508 1094385 1313262 1459180 2188770 2626524 3283155 4377540 6566310 13132620