Search a number
-
+
104437728 = 2533120877
BaseRepresentation
bin1100011100110…
…01011111100000
321021111222122000
412032121133200
5203214001403
614210244000
72405464113
oct616313740
9237458560
10104437728
1153a5267a
122ab86600
1318838695
14dc2857a
15927e7a3
hex63997e0

104437728 has 48 divisors (see below), whose sum is σ = 304612560. Its totient is φ = 34812288.

The previous prime is 104437727. The next prime is 104437747. The reversal of 104437728 is 827734401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104437692 and 104437701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104437721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59575 + ... + 61302.

It is an arithmetic number, because the mean of its divisors is an integer number (6346095).

Almost surely, 2104437728 is an apocalyptic number.

104437728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

104437728 is an abundant number, since it is smaller than the sum of its proper divisors (200174832).

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

104437728 is a wasteful number, since it uses less digits than its factorization.

104437728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120896 (or 120882 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 104437728 is about 10219.4778731597. The cubic root of 104437728 is about 470.9257865139.

The spelling of 104437728 in words is "one hundred four million, four hundred thirty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 120877 241754 362631 483508 725262 967016 1087893 1450524 1934032 2175786 2901048 3263679 3868064 4351572 5802096 6527358 8703144 11604192 13054716 17406288 26109432 34812576 52218864 104437728