Search a number
-
+
13705720 = 2357311579
BaseRepresentation
bin110100010010…
…000111111000
3221210022201021
4310102013320
512002040340
61205432224
7224332240
oct64220770
927708637
1013705720
117811346
12470b674
132abb4c2
141b6ab20
15130ae4a
hexd121f8

13705720 has 64 divisors (see below), whose sum is σ = 36403200. Its totient is φ = 4544640.

The previous prime is 13705697. The next prime is 13705739. The reversal of 13705720 is 2750731.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7891 + ... + 9469.

It is an arithmetic number, because the mean of its divisors is an integer number (568800).

Almost surely, 213705720 is an apocalyptic number.

13705720 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 13705720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18201600).

13705720 is an abundant number, since it is smaller than the sum of its proper divisors (22697480).

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

13705720 is a wasteful number, since it uses less digits than its factorization.

13705720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 13705720 is about 3702.1237148426. The cubic root of 13705720 is about 239.3135477282.

The spelling of 13705720 in words is "thirteen million, seven hundred five thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1579 1736 2170 3158 4340 6316 7895 8680 11053 12632 15790 22106 31580 44212 48949 55265 63160 88424 97898 110530 195796 221060 244745 342643 391592 442120 489490 685286 978980 1370572 1713215 1957960 2741144 3426430 6852860 13705720