Search a number
-
+
104282724 = 223713293789
BaseRepresentation
bin1100011011100…
…11101001100100
321021020010000010
412031303221210
5203144021344
614203050220
72404250160
oct615635144
9237203003
10104282724
1153957177
122ab10970
13187b2c70
14dbc7ca0
15924d8b9
hex6373a64

104282724 has 192 divisors, whose sum is σ = 321753600. Its totient is φ = 25546752.

The previous prime is 104282701. The next prime is 104282749. The reversal of 104282724 is 427282401.

It is a junction number, because it is equal to n+sod(n) for n = 104282691 and 104282700.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1171672 + ... + 1171760.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 2104282724 is an apocalyptic number.

104282724 is a gapful number since it is divisible by the number (14) 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 104282724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800).

104282724 is an abundant number, since it is smaller than the sum of its proper divisors (217470876).

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

104282724 is a wasteful number, since it uses less digits than its factorization.

104282724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 104282724 is about 10211.8913037693. The cubic root of 104282724 is about 470.6926921955.

The spelling of 104282724 in words is "one hundred four million, two hundred eighty-two thousand, seven hundred twenty-four".