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128231424 = 21134773
BaseRepresentation
bin1111010010010…
…10100000000000
322221021211110000
413221022200000
5230311401144
620420240000
73114643356
oct751124000
9287254400
10128231424
1166424192
1236b40000
13207497a9
141305d7d6
15b3ce769
hex7a4a800

128231424 has 120 divisors (see below), whose sum is σ = 383513130. Its totient is φ = 42688512.

The previous prime is 128231423. The next prime is 128231443. The reversal of 128231424 is 424132821.

128231424 is a `hidden beast` number, since 1 + 2 + 8 + 231 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126157824 + 2073600 = 11232^2 + 1440^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (128231423) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165502 + ... + 166274.

Almost surely, 2128231424 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 128231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191756565).

128231424 is an abundant number, since it is smaller than the sum of its proper divisors (255281706).

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

128231424 is an frugal number, since it uses more digits than its factorization.

128231424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 778 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 128231424 is about 11323.9314727704. The cubic root of 128231424 is about 504.2719620644.

The spelling of 128231424 in words is "one hundred twenty-eight million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 773 864 1024 1152 1296 1536 1546 1728 2048 2304 2319 2592 3072 3092 3456 4608 4638 5184 6144 6184 6912 6957 9216 9276 10368 12368 13824 13914 18432 18552 20736 20871 24736 27648 27828 37104 41472 41742 49472 55296 55656 62613 74208 82944 83484 98944 111312 125226 148416 165888 166968 197888 222624 250452 296832 333936 395776 445248 500904 593664 667872 791552 890496 1001808 1187328 1335744 1583104 1780992 2003616 2374656 2671488 3561984 4007232 4749312 5342976 7123968 8014464 10685952 14247936 16028928 21371904 32057856 42743808 64115712 128231424