Search a number
-
+
13704210 = 23251321753
BaseRepresentation
bin110100010001…
…110000010010
3221210020122100
4310101300102
512002013320
61205421230
7224324652
oct64216022
927706570
1013704210
1178101a3
12470a816
132aba900
141b6a362
15130a790
hexd11c12

13704210 has 144 divisors (see below), whose sum is σ = 41622984. Its totient is φ = 3115008.

The previous prime is 13704203. The next prime is 13704241. The reversal of 13704210 is 1240731.

It can be written as a sum of positive squares in 12 ways, for example, as 505521 + 13198689 = 711^2 + 3633^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 258544 + ... + 258596.

Almost surely, 213704210 is an apocalyptic number.

13704210 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 13704210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20811492).

13704210 is an abundant number, since it is smaller than the sum of its proper divisors (27918774).

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

13704210 is a wasteful number, since it uses less digits than its factorization.

13704210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13704210 is about 3701.9197722263. The cubic root of 13704210 is about 239.3047587766.

Adding to 13704210 its reverse (1240731), we get a palindrome (14944941).

The spelling of 13704210 in words is "thirteen million, seven hundred four thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 53 65 78 85 90 102 106 117 130 153 159 169 170 195 221 234 255 265 306 318 338 390 442 477 507 510 530 585 663 689 765 795 845 901 954 1014 1105 1170 1326 1378 1521 1530 1590 1690 1802 1989 2067 2210 2385 2535 2703 2873 3042 3315 3445 3978 4134 4505 4770 5070 5406 5746 6201 6630 6890 7605 8109 8619 8957 9010 9945 10335 11713 12402 13515 14365 15210 16218 17238 17914 19890 20670 23426 25857 26871 27030 28730 31005 35139 40545 43095 44785 51714 53742 58565 62010 70278 80613 81090 86190 89570 105417 117130 129285 134355 152269 161226 175695 210834 258570 268710 304538 351390 403065 456807 527085 761345 806130 913614 1054170 1370421 1522690 2284035 2740842 4568070 6852105 13704210