Search a number
-
+
13708350 = 2325241743
BaseRepresentation
bin110100010010…
…110000111110
3221210110022200
4310102300332
512002131400
61205452330
7224343015
oct64226076
927713280
1013708350
117813317
1247110a6
132abc766
141b6ba7c
15130bb00
hexd12c3e

13708350 has 72 divisors (see below), whose sum is σ = 37778832. Its totient is φ = 3561600.

The previous prime is 13708339. The next prime is 13708351. The reversal of 13708350 is 5380731.

13708350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13708351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18079 + ... + 18821.

It is an arithmetic number, because the mean of its divisors is an integer number (524706).

Almost surely, 213708350 is an apocalyptic number.

13708350 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 13708350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18889416).

13708350 is an abundant number, since it is smaller than the sum of its proper divisors (24070482).

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

13708350 is a wasteful number, since it uses less digits than its factorization.

13708350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13708350 is about 3702.4788993322. The cubic root of 13708350 is about 239.3288540960.

The spelling of 13708350 in words is "thirteen million, seven hundred eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 369 410 450 615 738 743 1025 1230 1486 1845 2050 2229 3075 3690 3715 4458 6150 6687 7430 9225 11145 13374 18450 18575 22290 30463 33435 37150 55725 60926 66870 91389 111450 152315 167175 182778 274167 304630 334350 456945 548334 761575 913890 1370835 1523150 2284725 2741670 4569450 6854175 13708350