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70081920 = 27325233
BaseRepresentation
bin1000010110101…
…01110110000000
311212212112022200
410023111312000
5120420110140
610542033200
71510454316
oct413256600
9155775280
1070081920
1136617647
121b578800
1311699bbc
1494440b6
156245030
hex42d5d80

70081920 has 192 divisors, whose sum is σ = 253000800. Its totient is φ = 17875968.

The previous prime is 70081909. The next prime is 70082003. The reversal of 70081920 is 2918007.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×700819202 = 9822951021772800, which contains 22 as substring.

It is a plaindrome in base 13.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3047029 + ... + 3047051.

Almost surely, 270081920 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 70081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126500400).

70081920 is an abundant number, since it is smaller than the sum of its proper divisors (182918880).

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

70081920 is an equidigital number, since it uses as much as digits as its factorization.

70081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 70081920 is about 8371.4944902329. The cubic root of 70081920 is about 412.2892366833.

Adding to 70081920 its reverse (2918007), we get a palindrome (72999927).

The spelling of 70081920 in words is "seventy million, eighty-one thousand, nine hundred twenty".