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5670144 = 283223107
BaseRepresentation
bin10101101000010100000000
3101200001222100
4111220110000
52422421034
6321310400
766124014
oct25502400
911601870
105670144
113223077
121a95400
131236b1c
14a78544
15770099
hex568500

5670144 has 108 divisors (see below), whose sum is σ = 17218656. Its totient is φ = 1790976.

The previous prime is 5670103. The next prime is 5670149. The reversal of 5670144 is 4410765.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5670149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52939 + ... + 53045.

It is an arithmetic number, because the mean of its divisors is an integer number (159432).

Almost surely, 25670144 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 5670144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8609328).

5670144 is an abundant number, since it is smaller than the sum of its proper divisors (11548512).

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

5670144 is a wasteful number, since it uses less digits than its factorization.

5670144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5670144 is about 2381.2064169240. The cubic root of 5670144 is about 178.3191681376.

The spelling of 5670144 in words is "five million, six hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 107 128 138 144 184 192 207 214 256 276 288 321 368 384 414 428 552 576 642 736 768 828 856 963 1104 1152 1284 1472 1656 1712 1926 2208 2304 2461 2568 2944 3312 3424 3852 4416 4922 5136 5888 6624 6848 7383 7704 8832 9844 10272 13248 13696 14766 15408 17664 19688 20544 22149 26496 27392 29532 30816 39376 41088 44298 52992 59064 61632 78752 82176 88596 118128 123264 157504 177192 236256 246528 315008 354384 472512 630016 708768 945024 1417536 1890048 2835072 5670144