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104045760 = 26325713397
BaseRepresentation
bin1100011001110…
…01110011000000
321020210001221200
412030321303000
5203113431020
614154021200
72402242260
oct614716300
9236701850
10104045760
1153805135
122aa17800
131872c150
14db657a0
159203590
hex6339cc0

104045760 has 336 divisors, whose sum is σ = 441569856. Its totient is φ = 21897216.

The previous prime is 104045749. The next prime is 104045761. The reversal of 104045760 is 67540401.

It is a tau number, because it is divible by the number of its divisors (336).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104045761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261882 + ... + 262278.

It is an arithmetic number, because the mean of its divisors is an integer number (1314196).

Almost surely, 2104045760 is an apocalyptic number.

104045760 is a gapful number since it is divisible by the number (10) 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 104045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220784928).

104045760 is an abundant number, since it is smaller than the sum of its proper divisors (337524096).

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

104045760 is a wasteful number, since it uses less digits than its factorization.

104045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 104045760 is about 10200.2823490333. The cubic root of 104045760 is about 470.3358999148.

The spelling of 104045760 in words is "one hundred four million, forty-five thousand, seven hundred sixty".