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80432320 = 2651913229
BaseRepresentation
bin1001100101101…
…00110011000000
312121100101101211
410302310303000
5131042313240
611551535504
71664443363
oct462646300
9177311354
1080432320
1141446aa1
1222b2a594
13138820b7
14a97a0da
1570dbbea
hex4cb4cc0

80432320 has 56 divisors (see below), whose sum is σ = 201625200. Its totient is φ = 30477312.

The previous prime is 80432293. The next prime is 80432327. The reversal of 80432320 is 2323408.

It is a junction number, because it is equal to n+sod(n) for n = 80432291 and 80432300.

It is not an unprimeable number, because it can be changed into a prime (80432327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 535 + ... + 12694.

It is an arithmetic number, because the mean of its divisors is an integer number (3600450).

Almost surely, 280432320 is an apocalyptic number.

80432320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100812600).

80432320 is an abundant number, since it is smaller than the sum of its proper divisors (121192880).

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

80432320 is a wasteful number, since it uses less digits than its factorization.

80432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13265 (or 13255 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 80432320 is about 8968.4067704359. The cubic root of 80432320 is about 431.6617150505.

Adding to 80432320 its reverse (2323408), we get a palindrome (82755728).

It can be divided in two parts, 804 and 32320, that added together give a square (33124 = 1822).

The spelling of 80432320 in words is "eighty million, four hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3040 6080 13229 26458 52916 66145 105832 132290 211664 251351 264580 423328 502702 529160 846656 1005404 1058320 1256755 2010808 2116640 2513510 4021616 4233280 5027020 8043232 10054040 16086464 20108080 40216160 80432320