Search a number
-
+
104079360 = 213357112
BaseRepresentation
bin1100011010000…
…10000000000000
321020211210001010
412031002000000
5203121014420
614154440520
72402442240
oct615020000
9236753033
10104079360
1153828400
122aa33140
1318741528
14db73b20
15920d4e0
hex6342000

104079360 has 336 divisors, whose sum is σ = 418356288. Its totient is φ = 21626880.

The previous prime is 104079329. The next prime is 104079373. The reversal of 104079360 is 63970401.

It is a happy number.

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

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 23 ways as a sum of consecutive naturals, for example, 9461755 + ... + 9461765.

It is an arithmetic number, because the mean of its divisors is an integer number (1245108).

Almost surely, 2104079360 is an apocalyptic number.

104079360 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 104079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209178144).

104079360 is an abundant number, since it is smaller than the sum of its proper divisors (314276928).

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

104079360 is an equidigital number, since it uses as much as digits as its factorization.

104079360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 104079360 is about 10201.9292293174. The cubic root of 104079360 is about 470.3865237474.

The spelling of 104079360 in words is "one hundred four million, seventy-nine thousand, three hundred sixty".