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80035840 = 2145977
BaseRepresentation
bin1001100010101…
…00000000000000
312120121020112101
410301110000000
5130442121330
611535240144
71661202433
oct461240000
9176536471
1080035840
11411a6125
1222979054
13137737b1
14a8b581a
15705e4ca
hex4c54000

80035840 has 60 divisors (see below), whose sum is σ = 192276756. Its totient is φ = 31981568.

The previous prime is 80035817. The next prime is 80035871. The reversal of 80035840 is 4853008.

It can be written as a sum of positive squares in 2 ways, for example, as 55115776 + 24920064 = 7424^2 + 4992^2 .

It is a junction number, because it is equal to n+sod(n) for n = 80035799 and 80035808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81432 + ... + 82408.

Almost surely, 280035840 is an apocalyptic number.

80035840 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 80035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96138378).

80035840 is an abundant number, since it is smaller than the sum of its proper divisors (112240916).

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

80035840 is an frugal number, since it uses more digits than its factorization.

80035840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 80035840 is about 8946.2752025634. The cubic root of 80035840 is about 430.9512741825.

Adding to 80035840 its reverse (4853008), we get a palindrome (84888848).

The spelling of 80035840 in words is "eighty million, thirty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 977 1024 1280 1954 2048 2560 3908 4096 4885 5120 7816 8192 9770 10240 15632 16384 19540 20480 31264 39080 40960 62528 78160 81920 125056 156320 250112 312640 500224 625280 1000448 1250560 2000896 2501120 4001792 5002240 8003584 10004480 16007168 20008960 40017920 80035840