Search a number
-
+
128008104 = 23374491697
BaseRepresentation
bin1111010000100…
…11111110101000
322220212111002220
413220103332220
5230232224404
620411354040
73113023320
oct750237650
9286774086
10128008104
1166291424
1236a52920
132069bc53
1413002280
15b3884d9
hex7a13fa8

128008104 has 64 divisors (see below), whose sum is σ = 366768000. Its totient is φ = 36470784.

The previous prime is 128008099. The next prime is 128008141. The reversal of 128008104 is 401800821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74584 + ... + 76280.

It is an arithmetic number, because the mean of its divisors is an integer number (5730750).

Almost surely, 2128008104 is an apocalyptic number.

128008104 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 128008104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183384000).

128008104 is an abundant number, since it is smaller than the sum of its proper divisors (238759896).

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

128008104 is a wasteful number, since it uses less digits than its factorization.

128008104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 128008104 is about 11314.0666429008. The cubic root of 128008104 is about 503.9790555670.

Adding to 128008104 its reverse (401800821), we get a palindrome (529808925).

The spelling of 128008104 in words is "one hundred twenty-eight million, eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 449 898 1347 1697 1796 2694 3143 3394 3592 5091 5388 6286 6788 9429 10182 10776 11879 12572 13576 18858 20364 23758 25144 35637 37716 40728 47516 71274 75432 95032 142548 285096 761953 1523906 2285859 3047812 4571718 5333671 6095624 9143436 10667342 16001013 18286872 21334684 32002026 42669368 64004052 128008104