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401810040 = 233251378147
BaseRepresentation
bin10111111100110…
…010001001111000
31001000002001202100
4113330302021320
51310330410130
6103512103400
712646220562
oct2774621170
91030061670
10401810040
111968a1915
12b2694b60
1365326428
143b516332
152541ec60
hex17f32278

401810040 has 96 divisors (see below), whose sum is σ = 1315576080. Its totient is φ = 106354176.

The previous prime is 401810029. The next prime is 401810063. The reversal of 401810040 is 40018104.

It is a super-2 number, since 2×4018100402 = 322902616489603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 401809995 and 401810022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45247 + ... + 53393.

Almost surely, 2401810040 is an apocalyptic number.

401810040 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 401810040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657788040).

401810040 is an abundant number, since it is smaller than the sum of its proper divisors (913766040).

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

401810040 is a wasteful number, since it uses less digits than its factorization.

401810040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8301 (or 8294 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 401810040 is about 20045.1999241714. The cubic root of 401810040 is about 737.9160016324.

Adding to 401810040 its reverse (40018104), we get a palindrome (441828144).

The spelling of 401810040 in words is "four hundred one million, eight hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 137 180 274 360 411 548 685 822 1096 1233 1370 1644 2055 2466 2740 3288 4110 4932 5480 6165 8147 8220 9864 12330 16294 16440 24441 24660 32588 40735 48882 49320 65176 73323 81470 97764 122205 146646 162940 195528 244410 293292 325880 366615 488820 586584 733230 977640 1116139 1466460 2232278 2932920 3348417 4464556 5580695 6696834 8929112 10045251 11161390 13393668 16742085 20090502 22322780 26787336 33484170 40181004 44645560 50226255 66968340 80362008 100452510 133936680 200905020 401810040