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13349070 = 2335721009
BaseRepresentation
bin110010111011…
…000011001110
3221010012111000
4302323003032
511404132240
61154041130
7221315400
oct62730316
927105430
1013349070
117598399
1245791a6
1329c5077
141ab6b70
15128a430
hexcbb0ce

13349070 has 96 divisors (see below), whose sum is σ = 41450400. Its totient is φ = 3048192.

The previous prime is 13349047. The next prime is 13349087. The reversal of 13349070 is 7094331.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12726 + ... + 13734.

It is an arithmetic number, because the mean of its divisors is an integer number (431775).

Almost surely, 213349070 is an apocalyptic number.

13349070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13349070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20725200).

13349070 is an abundant number, since it is smaller than the sum of its proper divisors (28101330).

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

13349070 is a wasteful number, since it uses less digits than its factorization.

13349070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 13349070 is about 3653.6379130943. The cubic root of 13349070 is about 237.2194730289.

It can be divided in two parts, 1334 and 9070, that added together give a square (10404 = 1022).

The spelling of 13349070 in words is "thirteen million, three hundred forty-nine thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 378 441 490 630 735 882 945 1009 1323 1470 1890 2018 2205 2646 3027 4410 5045 6054 6615 7063 9081 10090 13230 14126 15135 18162 21189 27243 30270 35315 42378 45405 49441 54486 63567 70630 90810 98882 105945 127134 136215 148323 190701 211890 247205 272430 296646 317835 381402 444969 494410 635670 741615 889938 953505 1334907 1483230 1907010 2224845 2669814 4449690 6674535 13349070