Search a number
-
+
128040864 = 2537190537
BaseRepresentation
bin1111010000110…
…11111110100000
322220221011001020
413220123332200
5230234301424
620412205440
73113220660
oct750337640
9286834036
10128040864
1166303aa6
1236a69880
13206b0b33
14130101a0
15b393079
hex7a1bfa0

128040864 has 48 divisors (see below), whose sum is σ = 384124608. Its totient is φ = 36582912.

The previous prime is 128040859. The next prime is 128040911. The reversal of 128040864 is 468040821.

It is a tau number, because it is divible by the number of its divisors (48).

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, 94597 + ... + 95940.

It is an arithmetic number, because the mean of its divisors is an integer number (8002596).

Almost surely, 2128040864 is an apocalyptic number.

128040864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

128040864 is an abundant number, since it is smaller than the sum of its proper divisors (256083744).

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

128040864 is a wasteful number, since it uses less digits than its factorization.

128040864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190557 (or 190549 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 128040864 is about 11315.5143055895. The cubic root of 128040864 is about 504.0220448911.

The spelling of 128040864 in words is "one hundred twenty-eight million, forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 190537 381074 571611 762148 1143222 1333759 1524296 2286444 2667518 3048592 4001277 4572888 5335036 6097184 8002554 9145776 10670072 16005108 18291552 21340144 32010216 42680288 64020432 128040864