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128272896 = 29351031
BaseRepresentation
bin1111010010101…
…00101000000000
322221100221100000
413221110220000
5230314213041
620421200000
73115205313
oct751245000
9287327300
10128272896
1166452364
1236b60000
132076262b
141307097a
15b3dbbb6
hex7a54a00

128272896 has 120 divisors (see below), whose sum is σ = 384287904. Its totient is φ = 42716160.

The previous prime is 128272891. The next prime is 128272943. The reversal of 128272896 is 698272821.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (128272891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123901 + ... + 124931.

Almost surely, 2128272896 is an apocalyptic number.

128272896 is a gapful number since it is divisible by the number (16) 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 128272896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192143952).

128272896 is an abundant number, since it is smaller than the sum of its proper divisors (256015008).

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

128272896 is an frugal number, since it uses more digits than its factorization.

128272896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1036 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 128272896 is about 11325.7624908878. The cubic root of 128272896 is about 504.3263192883.

The spelling of 128272896 in words is "one hundred twenty-eight million, two hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1031 1152 1296 1536 1728 1944 2062 2304 2592 3093 3456 3888 4124 4608 5184 6186 6912 7776 8248 9279 10368 12372 13824 15552 16496 18558 20736 24744 27837 31104 32992 37116 41472 49488 55674 62208 65984 74232 83511 98976 111348 124416 131968 148464 167022 197952 222696 250533 263936 296928 334044 395904 445392 501066 527872 593856 668088 791808 890784 1002132 1187712 1336176 1583616 1781568 2004264 2375424 2672352 3563136 4008528 4750848 5344704 7126272 8017056 10689408 14252544 16034112 21378816 32068224 42757632 64136448 128272896