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70102784 = 28416679
BaseRepresentation
bin1000010110110…
…10111100000000
311212220120221102
410023122330000
5120421242114
610542313532
71510602203
oct413327400
9155816842
1070102784
1136631294
121b5888a8
13116a654b
14944b93a
15624b2de
hex42daf00

70102784 has 36 divisors (see below), whose sum is σ = 143366160. Its totient is φ = 34191360.

The previous prime is 70102757. The next prime is 70102789. The reversal of 70102784 is 48720107.

It is a super-3 number, since 3×701027843 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70102789) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 7157 + ... + 13835.

Almost surely, 270102784 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 70102784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71683080).

70102784 is an abundant number, since it is smaller than the sum of its proper divisors (73263376).

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

70102784 is an equidigital number, since it uses as much as digits as its factorization.

70102784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6736 (or 6722 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 70102784 is about 8372.7405310328. The cubic root of 70102784 is about 412.3301466600.

The spelling of 70102784 in words is "seventy million, one hundred two thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 2624 5248 6679 10496 13358 26716 53432 106864 213728 273839 427456 547678 854912 1095356 1709824 2190712 4381424 8762848 17525696 35051392 70102784