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104090496 = 2731631663
BaseRepresentation
bin1100011010001…
…00101110000000
321020212100022120
412031010232000
5203121343441
614155004240
72402516556
oct615045600
9236770276
10104090496
1153835804
122aa39680
1318746613
14db77bd6
159211966
hex6344b80

104090496 has 64 divisors (see below), whose sum is σ = 278353920. Its totient is φ = 34463232.

The previous prime is 104090447. The next prime is 104090501. The reversal of 104090496 is 694090401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61761 + ... + 63423.

It is an arithmetic number, because the mean of its divisors is an integer number (4349280).

Almost surely, 2104090496 is an apocalyptic number.

104090496 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 104090496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139176960).

104090496 is an abundant number, since it is smaller than the sum of its proper divisors (174263424).

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

104090496 is a wasteful number, since it uses less digits than its factorization.

104090496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 104090496 is about 10202.4749938434. The cubic root of 104090496 is about 470.4032995280.

The spelling of 104090496 in words is "one hundred four million, ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 163 192 326 384 489 652 978 1304 1663 1956 2608 3326 3912 4989 5216 6652 7824 9978 10432 13304 15648 19956 20864 26608 31296 39912 53216 62592 79824 106432 159648 212864 271069 319296 542138 638592 813207 1084276 1626414 2168552 3252828 4337104 6505656 8674208 13011312 17348416 26022624 34696832 52045248 104090496