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70246400 = 2135273
BaseRepresentation
bin1000010111111…
…10000000000000
311220011212221112
410023332000000
5120440341100
610545342452
71512041000
oct413760000
9156155845
1070246400
113671a184
121b637a28
1311726a23
149488000
156278b35
hex42fe000

70246400 has 168 divisors, whose sum is σ = 203149200. Its totient is φ = 24084480.

The previous prime is 70246399. The next prime is 70246417. The reversal of 70246400 is 464207.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10035197 + ... + 10035203.

Almost surely, 270246400 is an apocalyptic number.

70246400 is a gapful number since it is divisible by the number (70) 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 70246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101574600).

70246400 is an abundant number, since it is smaller than the sum of its proper divisors (132902800).

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

70246400 is an frugal number, since it uses more digits than its factorization.

70246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 70246400 is about 8381.3125463736. The cubic root of 70246400 is about 412.6115278477.

The spelling of 70246400 in words is "seventy million, two hundred forty-six thousand, four hundred".