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13320520 = 23517191031
BaseRepresentation
bin110010110100…
…000101001000
3221001202022121
4302310011020
511402224040
61153301024
7221136223
oct62640510
927052277
1013320520
1175789a4
124564774
1329b5085
141aaa5ba
151281c4a
hexcb4148

13320520 has 64 divisors (see below), whose sum is σ = 33436800. Its totient is φ = 4746240.

The previous prime is 13320493. The next prime is 13320521. The reversal of 13320520 is 2502331.

It is a junction number, because it is equal to n+sod(n) for n = 13320494 and 13320503.

It is not an unprimeable number, because it can be changed into a prime (13320521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12405 + ... + 13435.

It is an arithmetic number, because the mean of its divisors is an integer number (522450).

Almost surely, 213320520 is an apocalyptic number.

13320520 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 13320520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16718400).

13320520 is an abundant number, since it is smaller than the sum of its proper divisors (20116280).

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

13320520 is a wasteful number, since it uses less digits than its factorization.

13320520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 13320520 is about 3649.7287570448. The cubic root of 13320520 is about 237.0502365214.

Adding to 13320520 its reverse (2502331), we get a palindrome (15822851).

It can be divided in two parts, 133205 and 20, that added together give a square (133225 = 3652).

The spelling of 13320520 in words is "thirteen million, three hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1031 1292 1615 2062 2584 3230 4124 5155 6460 8248 10310 12920 17527 19589 20620 35054 39178 41240 70108 78356 87635 97945 140216 156712 175270 195890 333013 350540 391780 666026 701080 783560 1332052 1665065 2664104 3330130 6660260 13320520