10149480 has 144 divisors (see below), whose sum is σ = 36412740. Its totient is φ = 2449920.

The previous prime is 10149473. The next prime is 10149481. The reversal of 10149480 is 8494101.

It can be written as a sum of positive squares in 2 ways, for example, as 9622404 + 527076 = 3102^2 + 726^2 .

It is not an unprimeable number, because it can be changed into a prime (10149481) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 43444 + ... + 43676.

Almost surely, 2^10149480 is an apocalyptic number.

10149480 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 10149480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18206370).

10149480 is an abundant number, since it is smaller than the sum of its proper divisors (26263260).

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

10149480 is a wasteful number, since it uses less digits than its factorization.

10149480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10149480 is about 3185.8248539429. The cubic root of 10149480 is about 216.5116471678.

The spelling of 10149480 in words is "ten million, one hundred forty-nine thousand, four hundred eighty".