10146990 has 64 divisors (see below), whose sum is σ = 28085760. Its totient is φ = 2298240.

The previous prime is 10146959. The next prime is 10147001. The reversal of 10146990 is 9964101.

It is a super-3 number, since 3×10146990³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44196 + ... + 44424.

It is an arithmetic number, because the mean of its divisors is an integer number (438840).

Almost surely, 2^10146990 is an apocalyptic number.

10146990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10146990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14042880).

10146990 is an abundant number, since it is smaller than the sum of its proper divisors (17938770).

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

10146990 is a wasteful number, since it uses less digits than its factorization.

10146990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457.

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 10146990 is about 3185.4340363599. The cubic root of 10146990 is about 216.4939399193.

The spelling of 10146990 in words is "ten million, one hundred forty-six thousand, nine hundred ninety".