Search a number
-
+
104055840 = 2534573137
BaseRepresentation
bin1100011001111…
…00010000100000
321020210120210000
412030330100200
5203114241330
614154140000
72402313540
oct614742040
9236716700
10104055840
1153811769
122aa21600
1318733905
14db69320
159206560
hex633c420

104055840 has 480 divisors, whose sum is σ = 444939264. Its totient is φ = 22394880.

The previous prime is 104055839. The next prime is 104055851. The reversal of 104055840 is 48550401.

104055840 is a `hidden beast` number, since 104 + 0 + 558 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2812302 + ... + 2812338.

Almost surely, 2104055840 is an apocalyptic number.

104055840 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 104055840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222469632).

104055840 is an abundant number, since it is smaller than the sum of its proper divisors (340883424).

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

104055840 is a wasteful number, since it uses less digits than its factorization.

104055840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 104055840 is about 10200.7764410362. The cubic root of 104055840 is about 470.3510882088.

The spelling of 104055840 in words is "one hundred four million, fifty-five thousand, eight hundred forty".