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104040 = 23325172
BaseRepresentation
bin11001011001101000
312021201100
4121121220
511312130
62121400
7612216
oct313150
9167640
10104040
1171192
1250260
1338481
1429cb6
1520c60
hex19668

104040 has 72 divisors (see below), whose sum is σ = 359190. Its totient is φ = 26112.

The previous prime is 104033. The next prime is 104047. The reversal of 104040 is 40401.

Adding to 104040 its reverse (40401), we get a palindrome (144441).

104040 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (104033) and next prime (104047).

It can be written as a sum of positive squares in 3 ways, for example, as 101124 + 2916 = 318^2 + 54^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (104047) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6112 + ... + 6128.

2104040 is an apocalyptic number.

104040 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 104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179595).

104040 is an abundant number, since it is smaller than the sum of its proper divisors (255150).

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

104040 is a wasteful number, since it uses less digits than its factorization.

104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 104040 is about 322.5523213372. The cubic root of 104040 is about 47.0327220449.

The spelling of 104040 in words is "one hundred four thousand, forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 289 306 340 360 408 510 578 612 680 765 867 1020 1156 1224 1445 1530 1734 2040 2312 2601 2890 3060 3468 4335 5202 5780 6120 6936 8670 10404 11560 13005 17340 20808 26010 34680 52020 104040