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80401032 = 2333735099
BaseRepresentation
bin1001100101011…
…01001010001000
312121021210111000
410302231022020
5131040313112
611551135000
71664253225
oct462551210
9177253430
1080401032
1141425538
1222b14460
1313870a9a
14a96c94c
1570d27dc
hex4cad288

80401032 has 64 divisors (see below), whose sum is σ = 226440000. Its totient is φ = 26428032.

The previous prime is 80401003. The next prime is 80401043. The reversal of 80401032 is 23010408.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 80400996 and 80401014.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13219 + ... + 18317.

It is an arithmetic number, because the mean of its divisors is an integer number (3538125).

Almost surely, 280401032 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 80401032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113220000).

80401032 is an abundant number, since it is smaller than the sum of its proper divisors (146038968).

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

80401032 is a wasteful number, since it uses less digits than its factorization.

80401032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5187 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 80401032 is about 8966.6622552653. The cubic root of 80401032 is about 431.6057359641.

The spelling of 80401032 in words is "eighty million, four hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 876 1314 1752 1971 2628 3942 5099 5256 7884 10198 15297 15768 20396 30594 40792 45891 61188 91782 122376 137673 183564 275346 367128 372227 550692 744454 1101384 1116681 1488908 2233362 2977816 3350043 4466724 6700086 8933448 10050129 13400172 20100258 26800344 40200516 80401032