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70080416 = 257535903
BaseRepresentation
bin1000010110101…
…01011110100000
311212212110020222
410023111132200
5120420033131
610542022212
71510450040
oct413253640
9155773228
1070080416
11366164aa
121b577968
1311699303
149443720
15624487b
hex42d57a0

70080416 has 48 divisors (see below), whose sum is σ = 160683264. Its totient is φ = 29462784.

The previous prime is 70080407. The next prime is 70080421. The reversal of 70080416 is 61408007.

It is a super-2 number, since 2×700804162 = 9822529413466112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8921 + ... + 14823.

It is an arithmetic number, because the mean of its divisors is an integer number (3347568).

Almost surely, 270080416 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 70080416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80341632).

70080416 is an abundant number, since it is smaller than the sum of its proper divisors (90602848).

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

70080416 is a wasteful number, since it uses less digits than its factorization.

70080416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5973 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 70080416 is about 8371.4046611068. The cubic root of 70080416 is about 412.2862873375.

The spelling of 70080416 in words is "seventy million, eighty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1484 1696 2968 5903 5936 11806 11872 23612 41321 47224 82642 94448 165284 188896 312859 330568 625718 661136 1251436 1322272 2190013 2502872 4380026 5005744 8760052 10011488 17520104 35040208 70080416