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104112378 = 235298389
BaseRepresentation
bin1100011010010…
…10000011111010
321020220110100000
412031022003322
5203123044003
614155253430
72402640426
oct615120372
9236813300
10104112378
1153850197
122aa4a276
1318753576
14db81b86
1592181a3
hex634a0fa

104112378 has 96 divisors (see below), whose sum is σ = 247665600. Its totient is φ = 32731776.

The previous prime is 104112377. The next prime is 104112397. The reversal of 104112378 is 873211401.

104112378 is a `hidden beast` number, since 10 + 411 + 237 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104112373) 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 47 ways as a sum of consecutive naturals, for example, 1169758 + ... + 1169846.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2104112378 is an apocalyptic number.

104112378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104112378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800).

104112378 is an abundant number, since it is smaller than the sum of its proper divisors (143553222).

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

104112378 is an equidigital number, since it uses as much as digits as its factorization.

104112378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 104112378 is about 10203.5473243377. The cubic root of 104112378 is about 470.4362600901.

Adding to 104112378 its reverse (873211401), we get a palindrome (977323779).

The spelling of 104112378 in words is "one hundred four million, one hundred twelve thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 83 87 89 162 166 174 178 243 249 261 267 486 498 522 534 747 783 801 1494 1566 1602 2241 2349 2403 2407 2581 4482 4698 4806 4814 5162 6723 7047 7209 7221 7387 7743 13446 14094 14418 14442 14774 15486 20169 21627 21663 22161 23229 40338 43254 43326 44322 46458 64989 66483 69687 129978 132966 139374 194967 199449 209061 214223 389934 398898 418122 428446 584901 598347 627183 642669 1169802 1196694 1254366 1285338 1795041 1928007 3590082 3856014 5784021 11568042 17352063 34704126 52056189 104112378