Search a number
-
+
128099904 = 263719397
BaseRepresentation
bin1111010001010…
…10011001000000
322221001011000220
413220222121000
5230243144104
620413343040
73113555052
oct750523100
9287034026
10128099904
1166344399
1236a97a80
132070197a
14130278d2
15b3a57d9
hex7a2a640

128099904 has 56 divisors (see below), whose sum is σ = 343741248. Its totient is φ = 42094080.

The previous prime is 128099869. The next prime is 128099921. The reversal of 128099904 is 409990821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8934 + ... + 18330.

Almost surely, 2128099904 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 128099904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171870624).

128099904 is an abundant number, since it is smaller than the sum of its proper divisors (215641344).

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

128099904 is an equidigital number, since it uses as much as digits as its factorization.

128099904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9483 (or 9473 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 128099904 is about 11318.1228125516. The cubic root of 128099904 is about 504.0995016447.

The spelling of 128099904 in words is "one hundred twenty-eight million, ninety-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1704 2272 3408 4544 6816 9397 13632 18794 28191 37588 56382 75176 112764 150352 225528 300704 451056 601408 667187 902112 1334374 1804224 2001561 2668748 4003122 5337496 8006244 10674992 16012488 21349984 32024976 42699968 64049952 128099904