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70168968 = 23321098941
BaseRepresentation
bin1000010111010…
…11000110001000
311220000221201200
410023223012020
5120430401333
610543544200
71511266152
oct413530610
9156027650
1070168968
1136676a91
121b5bb060
13116ca6cc
149467ad2
156260c13
hex42eb188

70168968 has 48 divisors (see below), whose sum is σ = 191805900. Its totient is φ = 23172480.

The previous prime is 70168963. The next prime is 70168981. The reversal of 70168968 is 86986107.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 67864644 + 2304324 = 8238^2 + 1518^2 .

It is not an unprimeable number, because it can be changed into a prime (70168963) 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, 3378 + ... + 12318.

Almost surely, 270168968 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 70168968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95902950).

70168968 is an abundant number, since it is smaller than the sum of its proper divisors (121636932).

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

70168968 is a wasteful number, since it uses less digits than its factorization.

70168968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9062 (or 9055 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 70168968 is about 8376.6919484961. The cubic root of 70168968 is about 412.4598660678.

The spelling of 70168968 in words is "seventy million, one hundred sixty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 1308 1962 2616 3924 7848 8941 17882 26823 35764 53646 71528 80469 107292 160938 214584 321876 643752 974569 1949138 2923707 3898276 5847414 7796552 8771121 11694828 17542242 23389656 35084484 70168968