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411245120 = 265112131943
BaseRepresentation
bin11000100000110…
…001101001000000
31001122211102020202
4120200301221000
51320234320440
6104450224332
713122345236
oct3040615100
91048742222
10411245120
111a1156600
12b58850a8
136727ab10
143c890956
1526185615
hex18831a40

411245120 has 336 divisors, whose sum is σ = 1248582720. Its totient is φ = 127733760.

The previous prime is 411245117. The next prime is 411245123. The reversal of 411245120 is 21542114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (411245117) and next prime (411245123).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 411245092 and 411245101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411245123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9563819 + ... + 9563861.

It is an arithmetic number, because the mean of its divisors is an integer number (3716020).

Almost surely, 2411245120 is an apocalyptic number.

411245120 is a gapful number since it is divisible by the number (40) 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 411245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624291360).

411245120 is an abundant number, since it is smaller than the sum of its proper divisors (837337600).

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

411245120 is a wasteful number, since it uses less digits than its factorization.

411245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 411245120 is about 20279.1794705802. The cubic root of 411245120 is about 743.6471522216.

Adding to 411245120 its reverse (21542114), we get a palindrome (432787234).

The spelling of 411245120 in words is "four hundred eleven million, two hundred forty-five thousand, one hundred twenty".