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13309380 = 2233572503
BaseRepresentation
bin110010110001…
…010111000100
3221001012001000
4302301113010
511401400010
61153133300
7221061600
oct62612704
927035030
1013309380
117570597
12455a230
1329acc96
141aa6500
15127d7c0
hexcb15c4

13309380 has 144 divisors (see below), whose sum is σ = 48263040. Its totient is φ = 3036096.

The previous prime is 13309369. The next prime is 13309393. The reversal of 13309380 is 8390331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26209 + ... + 26711.

It is an arithmetic number, because the mean of its divisors is an integer number (335160).

Almost surely, 213309380 is an apocalyptic number.

13309380 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 13309380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).

13309380 is an abundant number, since it is smaller than the sum of its proper divisors (34953660).

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

13309380 is a wasteful number, since it uses less digits than its factorization.

13309380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13309380 is about 3648.2022970225. The cubic root of 13309380 is about 236.9841360957.

It can be divided in two parts, 13309 and 380, that added together give a square (13689 = 1172).

The spelling of 13309380 in words is "thirteen million, three hundred nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 503 540 588 630 735 756 882 945 980 1006 1260 1323 1470 1509 1764 1890 2012 2205 2515 2646 2940 3018 3521 3780 4410 4527 5030 5292 6036 6615 7042 7545 8820 9054 10060 10563 13230 13581 14084 15090 17605 18108 21126 22635 24647 26460 27162 30180 31689 35210 42252 45270 49294 52815 54324 63378 67905 70420 73941 90540 95067 98588 105630 123235 126756 135810 147882 158445 190134 211260 221823 246470 271620 295764 316890 369705 380268 443646 475335 492940 633780 665469 739410 887292 950670 1109115 1330938 1478820 1901340 2218230 2661876 3327345 4436460 6654690 13309380