[go: up one dir, main page]

Search a number
-
+
13117464 = 233431653
BaseRepresentation
bin110010000010…
…100000011000
3220200102210000
4302002200120
511324224324
61145053000
7216332223
oct62024030
926612700
1013117464
11744a388
124487160
132943819
141a565ba
1512419c9
hexc82818

13117464 has 80 divisors (see below), whose sum is σ = 37984320. Its totient is φ = 4224960.

The previous prime is 13117459. The next prime is 13117471. The reversal of 13117464 is 46471131.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19762 + ... + 20414.

It is an arithmetic number, because the mean of its divisors is an integer number (474804).

Almost surely, 213117464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13117464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18992160).

13117464 is an abundant number, since it is smaller than the sum of its proper divisors (24866856).

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

13117464 is a wasteful number, since it uses less digits than its factorization.

13117464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 689 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 13117464 is about 3621.8039703993. The cubic root of 13117464 is about 235.8395442877.

Adding to 13117464 its reverse (46471131), we get a palindrome (59588595).

The spelling of 13117464 in words is "thirteen million, one hundred seventeen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 653 744 837 1116 1306 1674 1959 2232 2511 2612 3348 3918 5022 5224 5877 6696 7836 10044 11754 15672 17631 20088 20243 23508 35262 40486 47016 52893 60729 70524 80972 105786 121458 141048 161944 182187 211572 242916 364374 423144 485832 546561 728748 1093122 1457496 1639683 2186244 3279366 4372488 6558732 13117464