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411040 = 2557367
BaseRepresentation
bin1100100010110100000
3202212211201
41210112200
5101123130
612450544
73331240
oct1442640
9685751
10411040
11260903
12179a54
13115126
14a9b20
1581bca
hex645a0

411040 has 48 divisors (see below), whose sum is σ = 1112832. Its totient is φ = 140544.

The previous prime is 411031. The next prime is 411041. The reversal of 411040 is 40114.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 937 + ... + 1303.

It is an arithmetic number, because the mean of its divisors is an integer number (23184).

2411040 is an apocalyptic number.

411040 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 411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556416).

411040 is an abundant number, since it is smaller than the sum of its proper divisors (701792).

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

411040 is a wasteful number, since it uses less digits than its factorization.

411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 411040 is about 641.1240129647. The cubic root of 411040 is about 74.3523493391.

Adding to 411040 its reverse (40114), we get a palindrome (451154).

It can be divided in two parts, 41 and 1040, that added together give a triangular number (1081 = T46).

The spelling of 411040 in words is "four hundred eleven thousand, forty", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 367 560 734 1120 1468 1835 2569 2936 3670 5138 5872 7340 10276 11744 12845 14680 20552 25690 29360 41104 51380 58720 82208 102760 205520 411040