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70084512 = 2532376577
BaseRepresentation
bin1000010110101…
…10011110100000
311212212122212200
410023112132200
5120420201022
610542053200
71510465011
oct413263640
9155778780
1070084512
1136619593
121b57a200
131169b134
149445008
156245bac
hex42d67a0

70084512 has 72 divisors (see below), whose sum is σ = 204720516. Its totient is φ = 22726656.

The previous prime is 70084501. The next prime is 70084541. The reversal of 70084512 is 21548007.

70084512 is a `hidden beast` number, since 70 + 0 + 84 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49617936 + 20466576 = 7044^2 + 4524^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 7368 + ... + 13944.

Almost surely, 270084512 is an apocalyptic number.

70084512 is a gapful number since it is divisible by the number (72) 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 70084512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102360258).

70084512 is an abundant number, since it is smaller than the sum of its proper divisors (134636004).

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

70084512 is a wasteful number, since it uses less digits than its factorization.

70084512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6630 (or 6619 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 70084512 is about 8371.6492998692. The cubic root of 70084512 is about 412.2943194993.

The spelling of 70084512 in words is "seventy million, eighty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 6577 10656 13154 19731 26308 39462 52616 59193 78924 105232 118386 157848 210464 236772 243349 315696 473544 486698 631392 730047 947088 973396 1460094 1894176 1946792 2190141 2920188 3893584 4380282 5840376 7787168 8760564 11680752 17521128 23361504 35042256 70084512