10402920 has 192 divisors, whose sum is σ = 38413440. Its totient is φ = 2419200.

The previous prime is 10402913. The next prime is 10402927. The reversal of 10402920 is 2920401.

It is an interprime number because it is at equal distance from previous prime (10402913) and next prime (10402927).

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

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 10402893 and 10402902.

It is not an unprimeable number, because it can be changed into a prime (10402927) 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 47 ways as a sum of consecutive naturals, for example, 146485 + ... + 146555.

It is an arithmetic number, because the mean of its divisors is an integer number (200070).

Almost surely, 2^10402920 is an apocalyptic number.

10402920 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 10402920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19206720).

10402920 is an abundant number, since it is smaller than the sum of its proper divisors (28010520).

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

10402920 is a wasteful number, since it uses less digits than its factorization.

10402920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10402920 is about 3225.3557943272. The cubic root of 10402920 is about 218.2990033366.

The spelling of 10402920 in words is "ten million, four hundred two thousand, nine hundred twenty".