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128032422 = 23741149499
BaseRepresentation
bin1111010000110…
…01111010100110
322220220201110120
413220121322212
5230234014142
620412102410
73113154240
oct750317246
9286821416
10128032422
11662a8721
1236a64a06
13206aa03b
141300b090
15b3907ec
hex7a19ea6

128032422 has 64 divisors (see below), whose sum is σ = 302400000. Its totient is φ = 35377920.

The previous prime is 128032417. The next prime is 128032427. The reversal of 128032422 is 224230821.

It is an interprime number because it is at equal distance from previous prime (128032417) and next prime (128032427).

It is a junction number, because it is equal to n+sod(n) for n = 128032392 and 128032401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128032427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256329 + ... + 256827.

It is an arithmetic number, because the mean of its divisors is an integer number (4725000).

Almost surely, 2128032422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128032422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200000).

128032422 is an abundant number, since it is smaller than the sum of its proper divisors (174367578).

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

128032422 is a wasteful number, since it uses less digits than its factorization.

128032422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 128032422 is about 11315.1412717650. The cubic root of 128032422 is about 504.0109675744.

It can be divided in two parts, 12803 and 2422, that added together give a triangular number (15225 = T174).

The spelling of 128032422 in words is "one hundred twenty-eight million, thirty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 149 246 287 298 447 499 574 861 894 998 1043 1497 1722 2086 2994 3129 3493 6109 6258 6986 10479 12218 18327 20459 20958 36654 40918 42763 61377 74351 85526 122754 128289 143213 148702 223053 256578 286426 429639 446106 520457 859278 1040914 1561371 3048391 3122742 6096782 9145173 18290346 21338737 42677474 64016211 128032422