Search a number
-
+
13156000 = 2553111323
BaseRepresentation
bin110010001011…
…111010100000
3220202101122021
4302023322200
511331443000
61145551224
7216552454
oct62137240
926671567
1013156000
117476330
1244a5514
132958220
141a66664
15124d11a
hexc8bea0

13156000 has 192 divisors, whose sum is σ = 39626496. Its totient is φ = 4224000.

The previous prime is 13155959. The next prime is 13156001. The reversal of 13156000 is 65131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13156001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571989 + ... + 572011.

It is an arithmetic number, because the mean of its divisors is an integer number (206388).

Almost surely, 213156000 is an apocalyptic number.

13156000 is a gapful number since it is divisible by the number (10) 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 13156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

13156000 is an abundant number, since it is smaller than the sum of its proper divisors (26470496).

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

13156000 is a wasteful number, since it uses less digits than its factorization.

13156000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 13156000 is about 3627.1200696972. The cubic root of 13156000 is about 236.0702653937.

The spelling of 13156000 in words is "thirteen million, one hundred fifty-six thousand".