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104796468 = 223271492791
BaseRepresentation
bin1100011111100…
…01000100110100
321022012012201200
412033301010310
5203311441333
614222052500
72411520030
oct617610464
9238165650
10104796468
1154178157
122b11a130
1318932a5a
14dcbd1c0
159300c13
hex63f1134

104796468 has 72 divisors (see below), whose sum is σ = 304886400. Its totient is φ = 29730240.

The previous prime is 104796467. The next prime is 104796473. The reversal of 104796468 is 864697401.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104796467) 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, 36153 + ... + 38943.

Almost surely, 2104796468 is an apocalyptic number.

104796468 is a gapful number since it is divisible by the number (18) 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 104796468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152443200).

104796468 is an abundant number, since it is smaller than the sum of its proper divisors (200089932).

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

104796468 is a wasteful number, since it uses less digits than its factorization.

104796468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 104796468 is about 10237.0146038774. The cubic root of 104796468 is about 471.4643749274.

The spelling of 104796468 in words is "one hundred four million, seven hundred ninety-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 149 252 298 447 596 894 1043 1341 1788 2086 2682 2791 3129 4172 5364 5582 6258 8373 9387 11164 12516 16746 18774 19537 25119 33492 37548 39074 50238 58611 78148 100476 117222 175833 234444 351666 415859 703332 831718 1247577 1663436 2495154 2911013 3742731 4990308 5822026 7485462 8733039 11644052 14970924 17466078 26199117 34932156 52398234 104796468