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401112040 = 235721910771
BaseRepresentation
bin10111111010000…
…111101111101000
31000221202121021111
4113322013233220
51310141041130
6103445120104
712640252600
oct2772075750
91027677244
10401112040
1119646545a
12b23b9034
1365140804
143b3b3c00
152533302a
hex17e87be8

401112040 has 96 divisors (see below), whose sum is σ = 1105207200. Its totient is φ = 130273920.

The previous prime is 401112037. The next prime is 401112073. The reversal of 401112040 is 40211104.

It is a self number, because there is not a number n which added to its sum of digits gives 401112040.

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, 31855 + ... + 42625.

It is an arithmetic number, because the mean of its divisors is an integer number (11512575).

Almost surely, 2401112040 is an apocalyptic number.

401112040 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 401112040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552603600).

401112040 is an abundant number, since it is smaller than the sum of its proper divisors (704095160).

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

401112040 is a wasteful number, since it uses less digits than its factorization.

401112040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10815 (or 10804 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 401112040 is about 20027.7817044225. The cubic root of 401112040 is about 737.4884663522.

Adding to 401112040 its reverse (40211104), we get a palindrome (441323144).

The spelling of 401112040 in words is "four hundred one million, one hundred twelve thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 380 392 490 532 665 760 931 980 1064 1330 1862 1960 2660 3724 4655 5320 7448 9310 10771 18620 21542 37240 43084 53855 75397 86168 107710 150794 204649 215420 301588 376985 409298 430840 527779 603176 753970 818596 1023245 1055558 1432543 1507940 1637192 2046490 2111116 2638895 2865086 3015880 4092980 4222232 5277790 5730172 7162715 8185960 10027801 10555580 11460344 14325430 20055602 21111160 28650860 40111204 50139005 57301720 80222408 100278010 200556020 401112040