20146000 has 80 divisors (see below), whose sum is σ = 55710720. Its totient is φ = 6902400.

The previous prime is 20145997. The next prime is 20146031. The reversal of 20146000 is 64102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×20146000² = 811722632000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13281 + ... + 14719.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 2^20146000 is an apocalyptic number.

20146000 is a gapful number since it is divisible by the number (20) 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 20146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27855360).

20146000 is an abundant number, since it is smaller than the sum of its proper divisors (35564720).

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

20146000 is a wasteful number, since it uses less digits than its factorization.

20146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 20146000 is about 4488.4295694597. The cubic root of 20146000 is about 272.1006691960.

The spelling of 20146000 in words is "twenty million, one hundred forty-six thousand".