Search a number
-
+
13955006 = 2132194153
BaseRepresentation
bin110101001110…
…111110111110
3222020222200002
4311032332332
512033030011
61215034302
7226421102
oct65167676
928228602
1013955006
11797166a
12480b992
132b77b00
141bd3902
151359c3b
hexd4efbe

13955006 has 48 divisors (see below), whose sum is σ = 24902640. Its totient is φ = 5840640.

The previous prime is 13954999. The next prime is 13955017. The reversal of 13955006 is 60055931.

13955006 = T205 + T206 + ... + T451.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13955006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263276 + ... + 263328.

It is an arithmetic number, because the mean of its divisors is an integer number (518805).

Almost surely, 213955006 is an apocalyptic number.

13955006 is a deficient number, since it is larger than the sum of its proper divisors (10947634).

13955006 is a wasteful number, since it uses less digits than its factorization.

13955006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 29.

The square root of 13955006 is about 3735.6399719459. The cubic root of 13955006 is about 240.7557542242.

The spelling of 13955006 in words is "thirteen million, nine hundred fifty-five thousand, six".

Divisors: 1 2 13 19 26 38 41 53 82 106 169 247 338 494 533 689 779 1007 1066 1378 1558 2014 2173 3211 4346 6422 6929 8957 10127 13091 13858 17914 20254 26182 28249 41287 56498 82574 131651 170183 263302 340366 367237 536731 734474 1073462 6977503 13955006