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104014040 = 23513317631
BaseRepresentation
bin1100011001100…
…10000011011000
321020201110102212
412030302003120
5203111422130
614153214252
72402050634
oct614620330
9236643385
10104014040
1153793319
122aa01388
131871a890
14db57dc4
1591e8e95
hex63320d8

104014040 has 64 divisors (see below), whose sum is σ = 253229760. Its totient is φ = 38223360.

The previous prime is 104013989. The next prime is 104014051. The reversal of 104014040 is 40410401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164525 + ... + 165155.

It is an arithmetic number, because the mean of its divisors is an integer number (3956715).

Almost surely, 2104014040 is an apocalyptic number.

104014040 is a gapful number since it is divisible by the number (10) 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 104014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126614880).

104014040 is an abundant number, since it is smaller than the sum of its proper divisors (149215720).

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

104014040 is a wasteful number, since it uses less digits than its factorization.

104014040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 104014040 is about 10198.7273715891. The cubic root of 104014040 is about 470.2880986041.

Adding to 104014040 its reverse (40410401), we get a palindrome (144424441).

It can be divided in two parts, 10401 and 4040, that added together give a palindrome (14441).

The spelling of 104014040 in words is "one hundred four million, fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 317 520 631 634 1262 1268 1585 2524 2536 3155 3170 4121 5048 6310 6340 8203 8242 12620 12680 16406 16484 20605 25240 32812 32968 41015 41210 65624 82030 82420 164060 164840 200027 328120 400054 800108 1000135 1600216 2000270 2600351 4000540 5200702 8001080 10401404 13001755 20802808 26003510 52007020 104014040