Search a number
-
+
13156992 = 273747
BaseRepresentation
bin110010001100…
…001010000000
3220202110000000
4302030022000
511332010432
61150000000
7216555402
oct62141200
926673000
1013156992
117477052
1244a6000
132958804
141a66b72
15124d57c
hexc8c280

13156992 has 128 divisors (see below), whose sum is σ = 40147200. Its totient is φ = 4292352.

The previous prime is 13156973. The next prime is 13156993. The reversal of 13156992 is 29965131.

13156992 is a `hidden beast` number, since 1 + 3 + 1 + 569 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (13156993) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 279913 + ... + 279959.

It is an arithmetic number, because the mean of its divisors is an integer number (313650).

Almost surely, 213156992 is an apocalyptic number.

13156992 is a gapful number since it is divisible by the number (12) 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 13156992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20073600).

13156992 is an abundant number, since it is smaller than the sum of its proper divisors (26990208).

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

13156992 is an frugal number, since it uses more digits than its factorization.

13156992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 52 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 13156992 is about 3627.2568147293. The cubic root of 13156992 is about 236.0761987021.

The spelling of 13156992 in words is "thirteen million, one hundred fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 81 94 96 108 128 141 144 162 188 192 216 243 282 288 324 376 384 423 432 486 564 576 648 729 752 846 864 972 1128 1152 1269 1296 1458 1504 1692 1728 1944 2187 2256 2538 2592 2916 3008 3384 3456 3807 3888 4374 4512 5076 5184 5832 6016 6768 7614 7776 8748 9024 10152 10368 11421 11664 13536 15228 15552 17496 18048 20304 22842 23328 27072 30456 31104 34263 34992 40608 45684 46656 54144 60912 68526 69984 81216 91368 93312 102789 121824 137052 139968 162432 182736 205578 243648 274104 279936 365472 411156 487296 548208 730944 822312 1096416 1461888 1644624 2192832 3289248 4385664 6578496 13156992