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4670680 = 235722383
BaseRepresentation
bin10001110100010011011000
322210021222011
4101310103120
52143430210
6244035304
754462100
oct21642330
98707864
104670680
112700173
121692b34
13c76c21
14898200
15623d8a
hex4744d8

4670680 has 48 divisors (see below), whose sum is σ = 12229920. Its totient is φ = 1600704.

The previous prime is 4670671. The next prime is 4670681. The reversal of 4670680 is 860764.

4670680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4670681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 769 + ... + 3151.

It is an arithmetic number, because the mean of its divisors is an integer number (254790).

Almost surely, 24670680 is an apocalyptic number.

4670680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4670680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114960).

4670680 is an abundant number, since it is smaller than the sum of its proper divisors (7559240).

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

4670680 is a wasteful number, since it uses less digits than its factorization.

4670680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 4670680 is about 2161.1756060071. The cubic root of 4670680 is about 167.1578222863.

The spelling of 4670680 in words is "four million, six hundred seventy thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 2383 4766 9532 11915 16681 19064 23830 33362 47660 66724 83405 95320 116767 133448 166810 233534 333620 467068 583835 667240 934136 1167670 2335340 4670680