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70087008 = 253732137
BaseRepresentation
bin1000010110101…
…11000101100000
311212212210022010
410023113011200
5120420241013
610542112520
71510505205
oct413270540
9155783263
1070087008
1136620452
121b57b740
131169c304
149445cac
1562467c3
hex42d7160

70087008 has 72 divisors (see below), whose sum is σ = 187894728. Its totient is φ = 22874112.

The previous prime is 70086967. The next prime is 70087009. The reversal of 70087008 is 80078007.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70087009) 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 11 ways as a sum of consecutive naturals, for example, 511516 + ... + 511652.

It is an arithmetic number, because the mean of its divisors is an integer number (2609649).

Almost surely, 270087008 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 70087008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93947364).

70087008 is an abundant number, since it is smaller than the sum of its proper divisors (117807720).

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

70087008 is a wasteful number, since it uses less digits than its factorization.

70087008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 70087008 is about 8371.7983731096. The cubic root of 70087008 is about 412.2992139445.

Subtracting 70087008 from its reverse (80078007), we obtain a palindrome (9990999).

The spelling of 70087008 in words is "seventy million, eighty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 137 146 219 274 292 411 438 548 584 822 876 1096 1168 1644 1752 2192 2336 3288 3504 4384 5329 6576 7008 10001 10658 13152 15987 20002 21316 30003 31974 40004 42632 60006 63948 80008 85264 120012 127896 160016 170528 240024 255792 320032 480048 511584 730073 960096 1460146 2190219 2920292 4380438 5840584 8760876 11681168 17521752 23362336 35043504 70087008