Search a number
-
+
4669280 = 255711379
BaseRepresentation
bin10001110011111101100000
322210020001022
4101303331200
52143404110
6244025012
754455030
oct21637540
98706038
104669280
1126aa110
121692168
13c763b5
148978c0
15623755
hex473f60

4669280 has 96 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 1451520.

The previous prime is 4669279. The next prime is 4669283. The reversal of 4669280 is 829664.

4669280 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

4669280 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 4669280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4669283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12131 + ... + 12509.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 24669280 is an apocalyptic number.

4669280 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 4669280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

4669280 is an abundant number, since it is smaller than the sum of its proper divisors (9120160).

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

4669280 is a wasteful number, since it uses less digits than its factorization.

4669280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 4669280 is about 2160.8516839432. The cubic root of 4669280 is about 167.1411191983.

The spelling of 4669280 in words is "four million, six hundred sixty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 379 385 440 560 616 758 770 880 1120 1232 1516 1540 1760 1895 2464 2653 3032 3080 3790 4169 5306 6064 6160 7580 8338 10612 12128 12320 13265 15160 16676 20845 21224 26530 29183 30320 33352 41690 42448 53060 58366 60640 66704 83380 84896 106120 116732 133408 145915 166760 212240 233464 291830 333520 424480 466928 583660 667040 933856 1167320 2334640 4669280