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128848960 = 2652631531
BaseRepresentation
bin1111010111000…
…01010001000000
322222110012112201
413223201101000
5230441131320
620441402544
73123124642
oct753412100
9288405481
10128848960
1166806149
1237199454
13209048b6
1413180892
15b4a270a
hex7ae1440

128848960 has 56 divisors (see below), whose sum is σ = 308189376. Its totient is φ = 51310080.

The previous prime is 128848931. The next prime is 128848961. The reversal of 128848960 is 69848821.

It is a self number, because there is not a number n which added to its sum of digits gives 128848960.

It is not an unprimeable number, because it can be changed into a prime (128848961) by changing a digit.

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, 83395 + ... + 84925.

Almost surely, 2128848960 is an apocalyptic number.

128848960 is a gapful number since it is divisible by the number (10) 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 128848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154094688).

128848960 is an abundant number, since it is smaller than the sum of its proper divisors (179340416).

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

128848960 is a wasteful number, since it uses less digits than its factorization.

128848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The square root of 128848960 is about 11351.1655789174. The cubic root of 128848960 is about 505.0801558875.

The spelling of 128848960 in words is "one hundred twenty-eight million, eight hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 263 320 526 1052 1315 1531 2104 2630 3062 4208 5260 6124 7655 8416 10520 12248 15310 16832 21040 24496 30620 42080 48992 61240 84160 97984 122480 244960 402653 489920 805306 1610612 2013265 3221224 4026530 6442448 8053060 12884896 16106120 25769792 32212240 64424480 128848960