[go: up one dir, main page]

Search a number
-
+
13607055 = 3357211217
BaseRepresentation
bin110011111010…
…000010001111
3221121022101000
4303322002033
511440411210
61203351343
7223441500
oct63720217
927538330
1013607055
117754200
124682553
132a85617
141b42ba7
1512dbac0
hexcfa08f

13607055 has 144 divisors (see below), whose sum is σ = 32749920. Its totient is φ = 5322240.

The previous prime is 13607051. The next prime is 13607081. The reversal of 13607055 is 55070631.

13607055 is a `hidden beast` number, since 1 + 3 + 607 + 0 + 55 = 666.

13607055 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13607055 - 22 = 13607051 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13607051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 800407 + ... + 800423.

It is an arithmetic number, because the mean of its divisors is an integer number (227430).

Almost surely, 213607055 is an apocalyptic number.

13607055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13607055 is an abundant number, since it is smaller than the sum of its proper divisors (19142865).

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

13607055 is a wasteful number, since it uses less digits than its factorization.

13607055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 13607055 is about 3688.7741866371. The cubic root of 13607055 is about 238.7379058775.

Adding to 13607055 its reverse (55070631), we get a palindrome (68677686).

The spelling of 13607055 in words is "thirteen million, six hundred seven thousand, fifty-five".

Divisors: 1 3 5 7 9 11 15 17 21 27 33 35 45 49 51 55 63 77 85 99 105 119 121 135 147 153 165 187 189 231 245 255 297 315 357 363 385 441 459 495 539 561 595 605 693 735 765 833 847 935 945 1071 1089 1155 1309 1323 1485 1617 1683 1785 1815 2057 2079 2205 2295 2499 2541 2695 2805 3213 3267 3465 3927 4165 4235 4851 5049 5355 5445 5929 6171 6545 6615 7497 7623 8085 8415 9163 10285 10395 11781 12495 12705 14399 14553 16065 16335 17787 18513 19635 22491 22869 24255 25245 27489 29645 30855 35343 37485 38115 43197 45815 53361 55539 58905 71995 72765 82467 88935 92565 100793 112455 114345 129591 137445 160083 176715 215985 247401 266805 277695 302379 388773 412335 503965 647955 800415 907137 1237005 1511895 1943865 2721411 4535685 13607055