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80400040 = 23571012843
BaseRepresentation
bin1001100101011…
…00111010101000
312121021202010021
410302230322220
5131040300130
611551130224
71664250310
oct462547250
9177252107
1080400040
1141424816
1222b13974
13138704b6
14a96c440
1570d237a
hex4cacea8

80400040 has 64 divisors (see below), whose sum is σ = 208863360. Its totient is φ = 27283200.

The previous prime is 80400029. The next prime is 80400059. The reversal of 80400040 is 4000408.

It is a junction number, because it is equal to n+sod(n) for n = 80399987 and 80400023.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 26859 + ... + 29701.

It is an arithmetic number, because the mean of its divisors is an integer number (3263490).

Almost surely, 280400040 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 80400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104431680).

80400040 is an abundant number, since it is smaller than the sum of its proper divisors (128463320).

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

80400040 is a wasteful number, since it uses less digits than its factorization.

80400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 80400040 is about 8966.6069390824. The cubic root of 80400040 is about 431.6039608847.

Adding to 80400040 its reverse (4000408), we get a palindrome (84400448).

The spelling of 80400040 in words is "eighty million, four hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 280 404 505 707 808 1010 1414 2020 2828 2843 3535 4040 5656 5686 7070 11372 14140 14215 19901 22744 28280 28430 39802 56860 79604 99505 113720 159208 199010 287143 398020 574286 796040 1148572 1435715 2010001 2297144 2871430 4020002 5742860 8040004 10050005 11485720 16080008 20100010 40200020 80400040