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411103040 = 26511311369
BaseRepresentation
bin11000100000001…
…110111101000000
31001122120012100112
4120200032331000
51320220244130
6104443210452
713121214065
oct3040167500
91048505315
10411103040
111a1069887
12b5816a28
136722b24a
143c854c6c
1526158495
hex1880ef40

411103040 has 56 divisors (see below), whose sum is σ = 987689160. Its totient is φ = 162971648.

The previous prime is 411103009. The next prime is 411103079. The reversal of 411103040 is 40301114.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 473344 + 410629696 = 688^2 + 20264^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30476 + ... + 41844.

Almost surely, 2411103040 is an apocalyptic number.

411103040 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 411103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493844580).

411103040 is an abundant number, since it is smaller than the sum of its proper divisors (576586120).

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

411103040 is a wasteful number, since it uses less digits than its factorization.

411103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11499 (or 11489 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 411103040 is about 20275.6760676432. The cubic root of 411103040 is about 743.5615021212.

Adding to 411103040 its reverse (40301114), we get a palindrome (451404154).

The spelling of 411103040 in words is "four hundred eleven million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 160 226 320 452 565 904 1130 1808 2260 3616 4520 7232 9040 11369 18080 22738 36160 45476 56845 90952 113690 181904 227380 363808 454760 727616 909520 1284697 1819040 2569394 3638080 5138788 6423485 10277576 12846970 20555152 25693940 41110304 51387880 82220608 102775760 205551520 411103040