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80132430 = 23571632341
BaseRepresentation
bin1001100011010…
…11100101001110
312120210011000210
410301223211032
5131003214210
611541303250
71662054150
oct461534516
9176704023
1080132430
1141261754
1222a04b26
13137a8751
14a8dcad0
15707ce20
hex4c6b94e

80132430 has 64 divisors (see below), whose sum is σ = 221234688. Its totient is φ = 18195840.

The previous prime is 80132419. The next prime is 80132431. The reversal of 80132430 is 3423108.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 80132397 and 80132406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80132431) 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, 33060 + ... + 35400.

It is an arithmetic number, because the mean of its divisors is an integer number (3456792).

Almost surely, 280132430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80132430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110617344).

80132430 is an abundant number, since it is smaller than the sum of its proper divisors (141102258).

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

80132430 is a wasteful number, since it uses less digits than its factorization.

80132430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 80132430 is about 8951.6719108779. The cubic root of 80132430 is about 431.1245667547.

Adding to 80132430 its reverse (3423108), we get a palindrome (83555538).

The spelling of 80132430 in words is "eighty million, one hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 163 210 326 489 815 978 1141 1630 2282 2341 2445 3423 4682 4890 5705 6846 7023 11410 11705 14046 16387 17115 23410 32774 34230 35115 49161 70230 81935 98322 163870 245805 381583 491610 763166 1144749 1907915 2289498 2671081 3815830 5342162 5723745 8013243 11447490 13355405 16026486 26710810 40066215 80132430