Search a number
-
+
4694820 = 2235132463
BaseRepresentation
bin10001111010001100100100
322211112002020
4101322030210
52200213240
6244343140
754622344
oct21721444
98745066
104694820
112717319
1216a4ab0
13c84c00
148a2d24
1562b0d0
hex47a324

4694820 has 72 divisors (see below), whose sum is σ = 14265216. Its totient is φ = 1153152.

The previous prime is 4694803. The next prime is 4694821. The reversal of 4694820 is 284964.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4694821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9909 + ... + 10371.

It is an arithmetic number, because the mean of its divisors is an integer number (198128).

Almost surely, 24694820 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 4694820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132608).

4694820 is an abundant number, since it is smaller than the sum of its proper divisors (9570396).

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

4694820 is a wasteful number, since it uses less digits than its factorization.

4694820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4694820 is about 2166.7533316001. The cubic root of 4694820 is about 167.4453077545.

The spelling of 4694820 in words is "four million, six hundred ninety-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 463 507 676 780 845 926 1014 1389 1690 1852 2028 2315 2535 2778 3380 4630 5070 5556 6019 6945 9260 10140 12038 13890 18057 24076 27780 30095 36114 60190 72228 78247 90285 120380 156494 180570 234741 312988 361140 391235 469482 782470 938964 1173705 1564940 2347410 4694820