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104142016 = 2611295101
BaseRepresentation
bin1100011010100…
…01010011000000
321020221221222201
412031101103000
5203130021031
614200042544
72403123016
oct615212300
9236857881
10104142016
1153870490
122aa63454
1318763bc4
14db8c8b6
159221d61
hex63514c0

104142016 has 56 divisors (see below), whose sum is σ = 233263440. Its totient is φ = 45696000.

The previous prime is 104142011. The next prime is 104142061. The reversal of 104142016 is 610241401.

It is a junction number, because it is equal to n+sod(n) for n = 104141984 and 104142002.

It is not an unprimeable number, because it can be changed into a prime (104142011) 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, 17866 + ... + 22966.

Almost surely, 2104142016 is an apocalyptic number.

104142016 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 104142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116631720).

104142016 is an abundant number, since it is smaller than the sum of its proper divisors (129121424).

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

104142016 is a wasteful number, since it uses less digits than its factorization.

104142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5153 (or 5143 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 104142016 is about 10204.9995590397. Note that the first 3 decimals coincide. The cubic root of 104142016 is about 470.4808960476.

Adding to 104142016 its reverse (610241401), we get a palindrome (714383417).

The spelling of 104142016 in words is "one hundred four million, one hundred forty-two thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 176 232 319 352 464 638 704 928 1276 1856 2552 5101 5104 10202 10208 20404 20416 40808 56111 81616 112222 147929 163232 224444 295858 326464 448888 591716 897776 1183432 1627219 1795552 2366864 3254438 3591104 4733728 6508876 9467456 13017752 26035504 52071008 104142016