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104294148 = 22372832137
BaseRepresentation
bin1100011011101…
…10011100000100
321021020200200020
412031312130010
5203144403043
614203215140
72404325400
oct615663404
9237220606
10104294148
1153964812
122ab174b0
13187b821a
14dbcc100
159251e83
hex6376704

104294148 has 72 divisors (see below), whose sum is σ = 286628832. Its totient is φ = 29425536.

The previous prime is 104294147. The next prime is 104294149. The reversal of 104294148 is 841492401.

It is an interprime number because it is at equal distance from previous prime (104294147) and next prime (104294149).

It is not an unprimeable number, because it can be changed into a prime (104294147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47736 + ... + 49872.

It is an arithmetic number, because the mean of its divisors is an integer number (3980956).

Almost surely, 2104294148 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 104294148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143314416).

104294148 is an abundant number, since it is smaller than the sum of its proper divisors (182334684).

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

104294148 is a wasteful number, since it uses less digits than its factorization.

104294148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 104294148 is about 10212.4506363556. The cubic root of 104294148 is about 470.7098794366.

The spelling of 104294148 in words is "one hundred four million, two hundred ninety-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 83 84 98 147 166 196 249 294 332 498 581 588 996 1162 1743 2137 2324 3486 4067 4274 6411 6972 8134 8548 12201 12822 14959 16268 24402 25644 29918 44877 48804 59836 89754 104713 177371 179508 209426 314139 354742 418852 532113 628278 709484 1064226 1241597 1256556 2128452 2483194 3724791 4966388 7449582 8691179 14899164 17382358 26073537 34764716 52147074 104294148