Search a number
-
+
80574840 = 233254153103
BaseRepresentation
bin1001100110101…
…11100101111000
312121121121220100
410303113211320
5131111343330
611554555400
71665606033
oct463274570
9177547810
1080574840
1141534085
1222b98b60
1313901c28
14a9b601a
157119060
hex4cd7978

80574840 has 192 divisors, whose sum is σ = 275970240. Its totient is φ = 20367360.

The previous prime is 80574829. The next prime is 80574841. The reversal of 80574840 is 4847508.

80574840 is a `hidden beast` number, since 8 + 0 + 574 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80574795 and 80574804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80574841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 782229 + ... + 782331.

It is an arithmetic number, because the mean of its divisors is an integer number (1437345).

Almost surely, 280574840 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 80574840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137985120).

80574840 is an abundant number, since it is smaller than the sum of its proper divisors (195395400).

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

80574840 is a wasteful number, since it uses less digits than its factorization.

80574840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 80574840 is about 8976.3489236994. The cubic root of 80574840 is about 431.9165219359.

The spelling of 80574840 in words is "eighty million, five hundred seventy-four thousand, eight hundred forty".