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104740896 = 25313234189
BaseRepresentation
bin1100011111000…
…11100000100000
321022002101111110
412033203200200
5203303202041
614220543320
72411166021
oct617434040
9238071443
10104740896
115413a427
122b0b1b40
1318913680
14dca6c48
1592de516
hex63e3820

104740896 has 192 divisors, whose sum is σ = 320060160. Its totient is φ = 29736960.

The previous prime is 104740877. The next prime is 104740913. The reversal of 104740896 is 698047401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1176820 + ... + 1176908.

It is an arithmetic number, because the mean of its divisors is an integer number (1666980).

Almost surely, 2104740896 is an apocalyptic number.

104740896 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 104740896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160030080).

104740896 is an abundant number, since it is smaller than the sum of its proper divisors (215319264).

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

104740896 is a wasteful number, since it uses less digits than its factorization.

104740896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 104740896 is about 10234.2999760609. The cubic root of 104740896 is about 471.3810233561.

The spelling of 104740896 in words is "one hundred four million, seven hundred forty thousand, eight hundred ninety-six".