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104411376 = 24331012393
BaseRepresentation
bin1100011100100…
…11000011110000
321021110122111000
412032103003300
5203212131001
614205522000
72405324226
oct616230360
9237418430
10104411376
1153a348a3
122ab73300
13188296a4
14dc1cb16
159276a86
hex63930f0

104411376 has 80 divisors (see below), whose sum is σ = 302793120. Its totient is φ = 34444800.

The previous prime is 104411371. The next prime is 104411381. The reversal of 104411376 is 673114401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104411371) and next prime (104411381).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104411371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42436 + ... + 44828.

It is an arithmetic number, because the mean of its divisors is an integer number (3784914).

Almost surely, 2104411376 is an apocalyptic number.

104411376 is a gapful number since it is divisible by the number (16) 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 104411376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151396560).

104411376 is an abundant number, since it is smaller than the sum of its proper divisors (198381744).

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

104411376 is a wasteful number, since it uses less digits than its factorization.

104411376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 104411376 is about 10218.1884891599. The cubic root of 104411376 is about 470.8861747744.

Adding to 104411376 its reverse (673114401), we get a palindrome (777525777).

The spelling of 104411376 in words is "one hundred four million, four hundred eleven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 101 108 144 202 216 303 404 432 606 808 909 1212 1616 1818 2393 2424 2727 3636 4786 4848 5454 7179 7272 9572 10908 14358 14544 19144 21537 21816 28716 38288 43074 43632 57432 64611 86148 114864 129222 172296 241693 258444 344592 483386 516888 725079 966772 1033776 1450158 1933544 2175237 2900316 3867088 4350474 5800632 6525711 8700948 11601264 13051422 17401896 26102844 34803792 52205688 104411376