Search a number
-
+
128815104 = 212311953
BaseRepresentation
bin1111010110110…
…01000000000000
322222101111002210
413223121000000
5230434040404
620440542120
73122624145
oct753310000
9288344083
10128815104
1166792770
1237181940
13208c2372
14131723cc
15b497689
hex7ad9000

128815104 has 104 divisors (see below), whose sum is σ = 375082272. Its totient is φ = 38993920.

The previous prime is 128815081. The next prime is 128815121. The reversal of 128815104 is 401518821.

It is a happy number.

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134692 + ... + 135644.

Almost surely, 2128815104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128815104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187541136).

128815104 is an abundant number, since it is smaller than the sum of its proper divisors (246267168).

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

128815104 is an equidigital number, since it uses as much as digits as its factorization.

128815104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 128815104 is about 11349.6741803454. The cubic root of 128815104 is about 505.0359141860.

The spelling of 128815104 in words is "one hundred twenty-eight million, eight hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 953 1024 1056 1408 1536 1906 2048 2112 2816 2859 3072 3812 4096 4224 5632 5718 6144 7624 8448 10483 11264 11436 12288 15248 16896 20966 22528 22872 30496 31449 33792 41932 45056 45744 60992 62898 67584 83864 91488 121984 125796 135168 167728 182976 243968 251592 335456 365952 487936 503184 670912 731904 975872 1006368 1341824 1463808 1951744 2012736 2683648 2927616 3903488 4025472 5367296 5855232 8050944 10734592 11710464 16101888 21469184 32203776 42938368 64407552 128815104