Search a number
-
+
13408395 = 35711131947
BaseRepresentation
bin110011001001…
…100010001011
3221020012212020
4303021202023
511413032040
61155215523
7221653350
oct63114213
927205766
1013408395
117628a20
1245a75a3
132a16080
141ad0627
15129ccd0
hexcc988b

13408395 has 128 divisors (see below), whose sum is σ = 30965760. Its totient is φ = 4769280.

The previous prime is 13408331. The next prime is 13408397. The reversal of 13408395 is 59380431.

It is not a de Polignac number, because 13408395 - 26 = 13408331 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13408397) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 285262 + ... + 285308.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

Almost surely, 213408395 is an apocalyptic number.

13408395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13408395 is an abundant number, since it is smaller than the sum of its proper divisors (17557365).

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

13408395 is a wasteful number, since it uses less digits than its factorization.

13408395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 13408395 is about 3661.7475336238. The cubic root of 13408395 is about 237.5703651155.

The spelling of 13408395 in words is "thirteen million, four hundred eight thousand, three hundred ninety-five".

Divisors: 1 3 5 7 11 13 15 19 21 33 35 39 47 55 57 65 77 91 95 105 133 141 143 165 195 209 231 235 247 273 285 329 385 399 429 455 517 611 627 665 705 715 741 893 987 1001 1045 1155 1235 1365 1463 1551 1645 1729 1833 1995 2145 2585 2679 2717 3003 3055 3135 3619 3705 4277 4389 4465 4935 5005 5187 6251 6721 7315 7755 8151 8645 9165 9823 10857 11609 12831 13395 13585 15015 18095 18753 19019 20163 21385 21945 25935 29469 31255 33605 34827 40755 47047 49115 54285 57057 58045 64155 68761 81263 93765 95095 100815 127699 141141 147345 174135 206283 235235 243789 285285 343805 383097 406315 638495 705705 893893 1031415 1218945 1915485 2681679 4469465 13408395