[go: up one dir, main page]

Search a number
-
+
4903680 = 28351277
BaseRepresentation
bin10010101101001100000000
3100020010120210
4102231030000
52223404210
6253034120
756452305
oct22551400
910203523
104903680
11284a231
121785940
131028cb2
149190ac
1566ce20
hex4ad300

4903680 has 72 divisors (see below), whose sum is σ = 15673392. Its totient is φ = 1306624.

The previous prime is 4903643. The next prime is 4903681. The reversal of 4903680 is 863094.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4903681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3202 + ... + 4478.

It is an arithmetic number, because the mean of its divisors is an integer number (217686).

Almost surely, 24903680 is an apocalyptic number.

4903680 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 4903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7836696).

4903680 is an abundant number, since it is smaller than the sum of its proper divisors (10769712).

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

4903680 is a wasteful number, since it uses less digits than its factorization.

4903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4903680 is about 2214.4254333800. The cubic root of 4903680 is about 169.8924348375.

The spelling of 4903680 in words is "four million, nine hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1277 1280 1920 2554 3831 3840 5108 6385 7662 10216 12770 15324 19155 20432 25540 30648 38310 40864 51080 61296 76620 81728 102160 122592 153240 163456 204320 245184 306480 326912 408640 490368 612960 817280 980736 1225920 1634560 2451840 4903680