Search a number
-
+
13148568 = 2334103197
BaseRepresentation
bin110010001010…
…000110011000
3220202000110000
4302022012120
511331223233
61145453000
7216522006
oct62120630
926660400
1013148568
117470794
1244a1160
132954a24
141a63a76
15124ad13
hexc8a198

13148568 has 80 divisors (see below), whose sum is σ = 37374480. Its totient is φ = 4318272.

The previous prime is 13148543. The next prime is 13148581. The reversal of 13148568 is 86584131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66646 + ... + 66842.

It is an arithmetic number, because the mean of its divisors is an integer number (467181).

Almost surely, 213148568 is an apocalyptic number.

13148568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13148568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18687240).

13148568 is an abundant number, since it is smaller than the sum of its proper divisors (24225912).

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

13148568 is a wasteful number, since it uses less digits than its factorization.

13148568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 305 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 13148568 is about 3626.0954206970. The cubic root of 13148568 is about 236.0258039390.

The spelling of 13148568 in words is "thirteen million, one hundred forty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 103 108 162 197 206 216 309 324 394 412 591 618 648 788 824 927 1182 1236 1576 1773 1854 2364 2472 2781 3546 3708 4728 5319 5562 7092 7416 8343 10638 11124 14184 15957 16686 20291 21276 22248 31914 33372 40582 42552 60873 63828 66744 81164 121746 127656 162328 182619 243492 365238 486984 547857 730476 1095714 1460952 1643571 2191428 3287142 4382856 6574284 13148568