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411040140 = 223571815407
BaseRepresentation
bin11000011111111…
…111100110001100
31001122110000001220
4120133333212030
51320211241030
6104442003340
713120532520
oct3037774614
91048400056
10411040140
111a10265a5
12b57a6550
1367208724
143c839d80
1526144a10
hex187ff98c

411040140 has 96 divisors (see below), whose sum is σ = 1322840064. Its totient is φ = 93415680.

The previous prime is 411040117. The next prime is 411040163. The reversal of 411040140 is 41040114.

It is an interprime number because it is at equal distance from previous prime (411040117) and next prime (411040163).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73317 + ... + 78723.

It is an arithmetic number, because the mean of its divisors is an integer number (13779584).

Almost surely, 2411040140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411040140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661420032).

411040140 is an abundant number, since it is smaller than the sum of its proper divisors (911799924).

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

411040140 is a wasteful number, since it uses less digits than its factorization.

411040140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5607 (or 5605 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 411040140 is about 20274.1248886358. The cubic root of 411040140 is about 743.5235778058.

Adding to 411040140 its reverse (41040114), we get a palindrome (452080254).

The spelling of 411040140 in words is "four hundred eleven million, forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 181 210 362 420 543 724 905 1086 1267 1810 2172 2534 2715 3620 3801 5068 5407 5430 6335 7602 10814 10860 12670 15204 16221 19005 21628 25340 27035 32442 37849 38010 54070 64884 75698 76020 81105 108140 113547 151396 162210 189245 227094 324420 378490 454188 567735 756980 978667 1135470 1957334 2270940 2936001 3914668 4893335 5872002 6850669 9786670 11744004 13701338 14680005 19573340 20552007 27402676 29360010 34253345 41104014 58720020 68506690 82208028 102760035 137013380 205520070 411040140