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80032720 = 2451000409
BaseRepresentation
bin1001100010100…
…11001111010000
312120121002020211
410301103033100
5130442021340
611535213504
71661160355
oct461231720
9176532224
1080032720
11411a3849
1222977294
1313772251
14a8b462c
15705d5ea
hex4c533d0

80032720 has 20 divisors (see below), whose sum is σ = 186076260. Its totient is φ = 32013056.

The previous prime is 80032717. The next prime is 80032723. The reversal of 80032720 is 2723008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80032717) and next prime (80032723).

It can be written as a sum of positive squares in 2 ways, for example, as 58614336 + 21418384 = 7656^2 + 4628^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 80032691 and 80032700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80032723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500125 + ... + 500284.

It is an arithmetic number, because the mean of its divisors is an integer number (9303813).

Almost surely, 280032720 is an apocalyptic number.

80032720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80032720 is an abundant number, since it is smaller than the sum of its proper divisors (106043540).

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

80032720 is a wasteful number, since it uses less digits than its factorization.

80032720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000422 (or 1000416 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 80032720 is about 8946.1008266171. The cubic root of 80032720 is about 430.9456742519.

Adding to 80032720 its reverse (2723008), we get a palindrome (82755728).

The spelling of 80032720 in words is "eighty million, thirty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1000409 2000818 4001636 5002045 8003272 10004090 16006544 20008180 40016360 80032720