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70144 = 29137
BaseRepresentation
bin10001001000000000
310120012221
4101020000
54221034
61300424
7411334
oct211000
9116187
1070144
1148778
1234714
1325c09
141b7c4
1515bb4
hex11200

70144 has 20 divisors (see below), whose sum is σ = 141174. Its totient is φ = 34816.

The previous prime is 70141. The next prime is 70157. The reversal of 70144 is 44107.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 12544 = 240^2 + 112^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (70141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 444 + ... + 580.

270144 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 70144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70587).

70144 is an abundant number, since it is smaller than the sum of its proper divisors (71030).

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

70144 is an equidigital number, since it uses as much as digits as its factorization.

70144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 70144 is about 264.8471257159. The cubic root of 70144 is about 41.2410938838.

The spelling of 70144 in words is "seventy thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 8 16 32 64 128 137 256 274 512 548 1096 2192 4384 8768 17536 35072 70144