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104101296 = 24313241313
BaseRepresentation
bin1100011010001…
…11010110110000
321020212220010120
412031013112300
5203122220141
614155130240
72402563215
oct615072660
9236786116
10104101296
1153842932
122aa43980
131874b500
14db7bb0c
159214c66
hex63475b0

104101296 has 120 divisors (see below), whose sum is σ = 299262096. Its totient is φ = 31150080.

The previous prime is 104101279. The next prime is 104101297. The reversal of 104101296 is 692101401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (104101297) 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, 332436 + ... + 332748.

Almost surely, 2104101296 is an apocalyptic number.

104101296 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 104101296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149631048).

104101296 is an abundant number, since it is smaller than the sum of its proper divisors (195160800).

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

104101296 is a wasteful number, since it uses less digits than its factorization.

104101296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 104101296 is about 10203.0042634510. The cubic root of 104101296 is about 470.4195679999.

Adding to 104101296 its reverse (692101401), we get a palindrome (796202697).

The spelling of 104101296 in words is "one hundred four million, one hundred one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 169 208 246 312 313 328 338 492 507 533 624 626 656 676 939 984 1014 1066 1252 1352 1599 1878 1968 2028 2132 2504 2704 3198 3756 4056 4069 4264 5008 6396 6929 7512 8112 8138 8528 12207 12792 12833 13858 15024 16276 20787 24414 25584 25666 27716 32552 38499 41574 48828 51332 52897 55432 65104 76998 83148 97656 102664 105794 110864 153996 158691 166296 166829 195312 205328 211588 307992 317382 332592 333658 423176 500487 615984 634764 667316 846352 1000974 1269528 1334632 2001948 2168777 2539056 2669264 4003896 4337554 6506331 8007792 8675108 13012662 17350216 26025324 34700432 52050648 104101296