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401103864 = 23327823967
BaseRepresentation
bin10111111010000…
…101101111111000
31000221202012001200
4113322011233320
51310140310424
6103445014200
712640220010
oct2772055770
91027665050
10401103864
1119645a2a7
12b23b4360
1365139b85
143b3b0c40
15253308c9
hex17e85bf8

401103864 has 96 divisors (see below), whose sum is σ = 1244305920. Its totient is φ = 114343488.

The previous prime is 401103863. The next prime is 401103869. The reversal of 401103864 is 468301104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401103863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414309 + ... + 415275.

It is an arithmetic number, because the mean of its divisors is an integer number (12961520).

Almost surely, 2401103864 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 401103864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622152960).

401103864 is an abundant number, since it is smaller than the sum of its proper divisors (843202056).

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

401103864 is a wasteful number, since it uses less digits than its factorization.

401103864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 401103864 is about 20027.5775869175. The cubic root of 401103864 is about 737.4834554940.

Adding to 401103864 its reverse (468301104), we get a palindrome (869404968).

The spelling of 401103864 in words is "four hundred one million, one hundred three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 823 967 1646 1934 2469 2901 3292 3868 4938 5761 5802 6584 6769 7407 7736 8703 9876 11522 11604 13538 14814 17283 17406 19752 20307 23044 23208 27076 29628 34566 34812 40614 46088 51849 54152 59256 60921 69132 69624 81228 103698 121842 138264 162456 207396 243684 414792 487368 795841 1591682 2387523 3183364 4775046 5570887 6366728 7162569 9550092 11141774 14325138 16712661 19100184 22283548 28650276 33425322 44567096 50137983 57300552 66850644 100275966 133701288 200551932 401103864