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80087540 = 22513893461
BaseRepresentation
bin1001100011000…
…00100111110100
312120200212110012
410301200213310
5131000300130
611540315352
71661506241
oct461404764
9176625405
1080087540
1141230a55
12229a2b58
13137911a0
14a8ca5c8
15706e995
hex4c609f4

80087540 has 48 divisors (see below), whose sum is σ = 183209040. Its totient is φ = 29230080.

The previous prime is 80087519. The next prime is 80087549. The reversal of 80087540 is 4578008.

It can be written as a sum of positive squares in 8 ways, for example, as 25120144 + 54967396 = 5012^2 + 7414^2 .

It is a junction number, because it is equal to n+sod(n) for n = 80087497 and 80087506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80087549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21410 + ... + 24870.

It is an arithmetic number, because the mean of its divisors is an integer number (3816855).

Almost surely, 280087540 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 80087540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91604520).

80087540 is an abundant number, since it is smaller than the sum of its proper divisors (103121500).

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

80087540 is a wasteful number, since it uses less digits than its factorization.

80087540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3572 (or 3570 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 80087540 is about 8949.1642067849. The cubic root of 80087540 is about 431.0440467255.

The spelling of 80087540 in words is "eighty million, eighty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 260 356 445 890 1157 1780 2314 3461 4628 5785 6922 11570 13844 17305 23140 34610 44993 69220 89986 179972 224965 308029 449930 616058 899860 1232116 1540145 3080290 4004377 6160580 8008754 16017508 20021885 40043770 80087540