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104007726 = 2341973259
BaseRepresentation
bin1100011001100…
…00100000101110
321020201010210000
412030300200232
5203111221401
614153125130
72402023344
oct614604056
9236633700
10104007726
11537895a9
122a9b97a6
1318717a44
14db55994
1591e7186
hex633082e

104007726 has 40 divisors (see below), whose sum is σ = 234309240. Its totient is φ = 34482672.

The previous prime is 104007721. The next prime is 104007731. The reversal of 104007726 is 627700401.

It is an interprime number because it is at equal distance from previous prime (104007721) and next prime (104007731).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 104007726.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104007721) 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 19 ways as a sum of consecutive naturals, for example, 30285 + ... + 33543.

It is an arithmetic number, because the mean of its divisors is an integer number (5857731).

Almost surely, 2104007726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104007726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117154620).

104007726 is an abundant number, since it is smaller than the sum of its proper divisors (130301514).

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

104007726 is a wasteful number, since it uses less digits than its factorization.

104007726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 104007726 is about 10198.4178184658. The cubic root of 104007726 is about 470.2785823916.

The spelling of 104007726 in words is "one hundred four million, seven thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 197 394 591 1182 1773 3259 3546 5319 6518 9777 10638 15957 19554 29331 31914 58662 87993 175986 263979 527958 642023 1284046 1926069 3852138 5778207 11556414 17334621 34669242 52003863 104007726