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981432 = 233243317
BaseRepresentation
bin11101111100110111000
31211212021100
43233212320
5222401212
633011400
711225214
oct3574670
91755240
10981432
11610401
123b3b60
1328493a
141b7944
15145bdc
hexef9b8

981432 has 48 divisors (see below), whose sum is σ = 2728440. Its totient is φ = 318528.

The previous prime is 981419. The next prime is 981437. The reversal of 981432 is 234189.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is one of the 548 Lynch-Bell numbers.

It is a junction number, because it is equal to n+sod(n) for n = 981396 and 981405.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 981432.

It is not an unprimeable number, because it can be changed into a prime (981437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2938 + ... + 3254.

2981432 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 981432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364220).

981432 is an abundant number, since it is smaller than the sum of its proper divisors (1747008).

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

981432 is a wasteful number, since it uses less digits than its factorization.

981432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 365 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 981432 is about 990.6724988613. The cubic root of 981432 is about 99.3771958694.

The spelling of 981432 in words is "nine hundred eighty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 317 344 387 516 634 774 951 1032 1268 1548 1902 2536 2853 3096 3804 5706 7608 11412 13631 22824 27262 40893 54524 81786 109048 122679 163572 245358 327144 490716 981432