Search a number
-
+
4688670 = 235783269
BaseRepresentation
bin10001111000101100011110
322211012122110
4101320230132
52200014140
6244254450
754565410
oct21705436
98735573
104688670
112712738
1216a1426
13c8217c
148a09b0
15629380
hex478b1e

4688670 has 64 divisors (see below), whose sum is σ = 13063680. Its totient is φ = 1054848.

The previous prime is 4688669. The next prime is 4688683. The reversal of 4688670 is 768864.

4688670 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

4688670 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17296 + ... + 17564.

It is an arithmetic number, because the mean of its divisors is an integer number (204120).

Almost surely, 24688670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4688670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

4688670 is an abundant number, since it is smaller than the sum of its proper divisors (8375010).

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

4688670 is a wasteful number, since it uses less digits than its factorization.

4688670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369.

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 4688670 is about 2165.3336925287. Note that the first 3 decimals coincide. The cubic root of 4688670 is about 167.3721605676.

The spelling of 4688670 in words is "four million, six hundred eighty-eight thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 83 105 166 210 249 269 415 498 538 581 807 830 1162 1245 1345 1614 1743 1883 2490 2690 2905 3486 3766 4035 5649 5810 8070 8715 9415 11298 17430 18830 22327 28245 44654 56490 66981 111635 133962 156289 223270 312578 334905 468867 669810 781445 937734 1562890 2344335 4688670