10146240 has 168 divisors, whose sum is σ = 37722048. Its totient is φ = 2488320.

The previous prime is 10146239. The next prime is 10146271. The reversal of 10146240 is 4264101.

It is a super-2 number, since 2×10146240² = 205892372275200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37305 + ... + 37575.

It is an arithmetic number, because the mean of its divisors is an integer number (224536).

Almost surely, 2^10146240 is an apocalyptic number.

10146240 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 10146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18861024).

10146240 is an abundant number, since it is smaller than the sum of its proper divisors (27575808).

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

10146240 is a wasteful number, since it uses less digits than its factorization.

10146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10146240 is about 3185.3163108238. The cubic root of 10146240 is about 216.4886058430.

The spelling of 10146240 in words is "ten million, one hundred forty-six thousand, two hundred forty".