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104252176 = 2474173311
BaseRepresentation
bin1100011011011…
…00001100010000
321021011120002201
412031230030100
5203142032201
614202252544
72404062130
oct615541420
9237146081
10104252176
1153936226
122aab7154
13187a20a2
14dbbaac0
159244801
hex636c310

104252176 has 80 divisors (see below), whose sum is σ = 240484608. Its totient is φ = 42854400.

The previous prime is 104252173. The next prime is 104252179. The reversal of 104252176 is 671252401.

It is an interprime number because it is at equal distance from previous prime (104252173) and next prime (104252179).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104252173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335061 + ... + 335371.

Almost surely, 2104252176 is an apocalyptic number.

104252176 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 104252176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120242304).

104252176 is an abundant number, since it is smaller than the sum of its proper divisors (136232432).

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

104252176 is a wasteful number, since it uses less digits than its factorization.

104252176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 104252176 is about 10210.3954869535. The cubic root of 104252176 is about 470.6467270089.

The spelling of 104252176 in words is "one hundred four million, two hundred fifty-two thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 41 56 73 82 112 146 164 287 292 311 328 511 574 584 622 656 1022 1148 1168 1244 2044 2177 2296 2488 2993 4088 4354 4592 4976 5986 8176 8708 11972 12751 17416 20951 22703 23944 25502 34832 41902 45406 47888 51004 83804 89257 90812 102008 158921 167608 178514 181624 204016 317842 335216 357028 363248 635684 714056 930823 1271368 1428112 1861646 2542736 3723292 6515761 7446584 13031522 14893168 26063044 52126088 104252176