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104100040 = 235111032297
BaseRepresentation
bin1100011010001…
…11000011001000
321020212211102001
412031013003020
5203122200130
614155120344
72402556442
oct615070310
9236784361
10104100040
11538419a0
122aa430b4
131874aa75
14db7b492
1592146ca
hex63470c8

104100040 has 64 divisors (see below), whose sum is σ = 258111360. Its totient is φ = 37470720.

The previous prime is 104100023. The next prime is 104100049. The reversal of 104100040 is 40001401.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (104100049) by changing a digit.

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, 44172 + ... + 46468.

It is an arithmetic number, because the mean of its divisors is an integer number (4032990).

Almost surely, 2104100040 is an apocalyptic number.

104100040 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 104100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129055680).

104100040 is an abundant number, since it is smaller than the sum of its proper divisors (154011320).

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

104100040 is a wasteful number, since it uses less digits than its factorization.

104100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 104100040 is about 10202.9427127667. The cubic root of 104100040 is about 470.4176760947.

Adding to 104100040 its reverse (40001401), we get a palindrome (144101441).

The spelling of 104100040 in words is "one hundred four million, one hundred thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 103 110 206 220 412 440 515 824 1030 1133 2060 2266 2297 4120 4532 4594 5665 9064 9188 11330 11485 18376 22660 22970 25267 45320 45940 50534 91880 101068 126335 202136 236591 252670 473182 505340 946364 1010680 1182955 1892728 2365910 2602501 4731820 5205002 9463640 10410004 13012505 20820008 26025010 52050020 104100040