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401240040 = 233527712071
BaseRepresentation
bin10111111010100…
…110111111101000
31000222000002212020
4113322212333220
51310204140130
6103451544440
712641325015
oct2772467750
91028002766
10401240040
11196542643
12b245b120
1365186b56
143b40870c
152535ae10
hex17ea6fe8

401240040 has 64 divisors (see below), whose sum is σ = 1208165760. Its totient is φ = 106602240.

The previous prime is 401240029. The next prime is 401240053. The reversal of 401240040 is 40042104.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27205 + ... + 39275.

It is an arithmetic number, because the mean of its divisors is an integer number (18877590).

Almost surely, 2401240040 is an apocalyptic number.

401240040 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 401240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604082880).

401240040 is an abundant number, since it is smaller than the sum of its proper divisors (806925720).

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

401240040 is a wasteful number, since it uses less digits than its factorization.

401240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12362 (or 12358 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 401240040 is about 20030.9770106203. The cubic root of 401240040 is about 737.5669053541.

Adding to 401240040 its reverse (40042104), we get a palindrome (441282144).

The spelling of 401240040 in words is "four hundred one million, two hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 277 554 831 1108 1385 1662 2216 2770 3324 4155 5540 6648 8310 11080 12071 16620 24142 33240 36213 48284 60355 72426 96568 120710 144852 181065 241420 289704 362130 482840 724260 1448520 3343667 6687334 10031001 13374668 16718335 20062002 26749336 33436670 40124004 50155005 66873340 80248008 100310010 133746680 200620020 401240040