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410013140 = 225171205921
BaseRepresentation
bin11000011100000…
…100110111010100
31001120111211021212
4120130010313110
51314430410030
6104404000552
713106024405
oct3034046724
91046454255
10410013140
111a0494a39
12b5390158
1366c39134
143c64d9ac
1525ee0595
hex18704dd4

410013140 has 24 divisors (see below), whose sum is σ = 911677032. Its totient is φ = 154357760.

The previous prime is 410013137. The next prime is 410013151. The reversal of 410013140 is 41310014.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6646084 + 403367056 = 2578^2 + 20084^2 .

It is a super-2 number, since 2×4100131402 = 336221549945319200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 602621 + ... + 603300.

It is an arithmetic number, because the mean of its divisors is an integer number (37986543).

Almost surely, 2410013140 is an apocalyptic number.

It is an amenable number.

410013140 is an abundant number, since it is smaller than the sum of its proper divisors (501663892).

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

410013140 is a wasteful number, since it uses less digits than its factorization.

410013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205947 (or 1205945 counting only the distinct ones).

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

The square root of 410013140 is about 20248.7811978894. The cubic root of 410013140 is about 742.9038203622.

Adding to 410013140 its reverse (41310014), we get a palindrome (451323154).

The spelling of 410013140 in words is "four hundred ten million, thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1205921 2411842 4823684 6029605 12059210 20500657 24118420 41001314 82002628 102503285 205006570 410013140