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13493370 = 23511311319
BaseRepresentation
bin110011011110…
…010001111010
3221101112102110
4303132101322
511423241440
61201113150
7222456162
oct63362172
927345373
1013493370
117686850
1246287b6
132a45957
141b135a2
1512b8080
hexcde47a

13493370 has 64 divisors (see below), whose sum is σ = 36495360. Its totient is φ = 3163200.

The previous prime is 13493353. The next prime is 13493377. The reversal of 13493370 is 7339431.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13493377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9571 + ... + 10889.

It is an arithmetic number, because the mean of its divisors is an integer number (570240).

Almost surely, 213493370 is an apocalyptic number.

13493370 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 13493370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18247680).

13493370 is an abundant number, since it is smaller than the sum of its proper divisors (23001990).

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

13493370 is a wasteful number, since it uses less digits than its factorization.

13493370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371.

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 13493370 is about 3673.3322746520. The cubic root of 13493370 is about 238.0711718977.

The spelling of 13493370 in words is "thirteen million, four hundred ninety-three thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 1023 1319 1705 2046 2638 3410 3957 5115 6595 7914 10230 13190 14509 19785 29018 39570 40889 43527 72545 81778 87054 122667 145090 204445 217635 245334 408890 435270 449779 613335 899558 1226670 1349337 2248895 2698674 4497790 6746685 13493370