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70894080 = 2932517181
BaseRepresentation
bin1000011100111…
…00001000000000
311221101210101200
410032130020000
5121122102310
611011301200
71520406165
oct416341000
9157353350
1070894080
1137021854
121b8aa800
13118c277a
1495b606c
1563559c0
hex439c200

70894080 has 240 divisors, whose sum is σ = 261405144. Its totient is φ = 17694720.

The previous prime is 70894069. The next prime is 70894091. The reversal of 70894080 is 8049807.

It is an interprime number because it is at equal distance from previous prime (70894069) and next prime (70894091).

It can be written as a sum of positive squares in 4 ways, for example, as 44515584 + 26378496 = 6672^2 + 5136^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391590 + ... + 391770.

Almost surely, 270894080 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 70894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130702572).

70894080 is an abundant number, since it is smaller than the sum of its proper divisors (190511064).

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

70894080 is a wasteful number, since it uses less digits than its factorization.

70894080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 70894080 is about 8419.8622316520. The cubic root of 70894080 is about 413.8757591205.

The spelling of 70894080 in words is "seventy million, eight hundred ninety-four thousand, eighty".