Search a number
-
+
13671000 = 2332537231
BaseRepresentation
bin110100001001…
…101001011000
3221201120002100
4310021221120
511444433000
61205003400
7224126100
oct64115130
927646070
1013671000
117798252
1246b3560
132aa8765
141b5c200
151300a00
hexd09a58

13671000 has 288 divisors, whose sum is σ = 55486080. Its totient is φ = 3024000.

The previous prime is 13670989. The next prime is 13671011. The reversal of 13671000 is 17631.

It is an interprime number because it is at equal distance from previous prime (13670989) and next prime (13671011).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 440985 + ... + 441015.

It is an arithmetic number, because the mean of its divisors is an integer number (192660).

Almost surely, 213671000 is an apocalyptic number.

13671000 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 13671000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27743040).

13671000 is an abundant number, since it is smaller than the sum of its proper divisors (41815080).

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

13671000 is a wasteful number, since it uses less digits than its factorization.

13671000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 13671000 is about 3697.4315409484. The cubic root of 13671000 is about 239.1112965879. Note that the first 3 decimals are identical.

Adding to 13671000 its reverse (17631), we get a palindrome (13688631).

The spelling of 13671000 in words is "thirteen million, six hundred seventy-one thousand".