Search a number
-
+
104406528 = 293101673
BaseRepresentation
bin1100011100100…
…01111000000000
321021110101211110
412032101320000
5203212002103
614205443320
72405304132
oct616217000
9237411743
10104406528
1153a31196
122ab70540
1318827415
14dc1b052
159275403
hex6391e00

104406528 has 80 divisors (see below), whose sum is σ = 281316816. Its totient is φ = 34406400.

The previous prime is 104406527. The next prime is 104406557. The reversal of 104406528 is 825604401.

It is a junction number, because it is equal to n+sod(n) for n = 104406495 and 104406504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104406527) 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, 154800 + ... + 155472.

Almost surely, 2104406528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104406528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140658408).

104406528 is an abundant number, since it is smaller than the sum of its proper divisors (176910288).

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

104406528 is an equidigital number, since it uses as much as digits as its factorization.

104406528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 104406528 is about 10217.9512623617. The cubic root of 104406528 is about 470.8788866429.

The spelling of 104406528 in words is "one hundred four million, four hundred six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 384 404 512 606 673 768 808 1212 1346 1536 1616 2019 2424 2692 3232 4038 4848 5384 6464 8076 9696 10768 12928 16152 19392 21536 25856 32304 38784 43072 51712 64608 67973 77568 86144 129216 135946 155136 172288 203919 258432 271892 344576 407838 516864 543784 815676 1033728 1087568 1631352 2175136 3262704 4350272 6525408 8700544 13050816 17401088 26101632 34802176 52203264 104406528