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104119680 = 2735761127
BaseRepresentation
bin1100011010010…
…11110110000000
321020220211100110
412031023312000
5203123312210
614155351320
72403000630
oct615136600
9236824313
10104119680
1153855725
122aa52540
13187569a2
14db846c0
15921a420
hex634bd80

104119680 has 256 divisors, whose sum is σ = 388546560. Its totient is φ = 23224320.

The previous prime is 104119663. The next prime is 104119721. The reversal of 104119680 is 86911401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819777 + ... + 819903.

It is an arithmetic number, because the mean of its divisors is an integer number (1517760).

Almost surely, 2104119680 is an apocalyptic number.

104119680 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 104119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194273280).

104119680 is an abundant number, since it is smaller than the sum of its proper divisors (284426880).

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

104119680 is a wasteful number, since it uses less digits than its factorization.

104119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 104119680 is about 10203.9051348001. The cubic root of 104119680 is about 470.4472579668.

The spelling of 104119680 in words is "one hundred four million, one hundred nineteen thousand, six hundred eighty".