Search a number
-
+
683290240 = 2751377793
BaseRepresentation
bin101000101110100…
…010111010000000
31202121201201222221
4220232202322000
52344410241430
6151445140424
722634604553
oct5056427200
91677651887
10683290240
11320777086
121709ba714
13ab73b769
1466a6869a
153eec157a
hex28ba2e80

683290240 has 64 divisors (see below), whose sum is σ = 1645625160. Its totient is φ = 271286272.

The previous prime is 683290229. The next prime is 683290241. The reversal of 683290240 is 42092386.

It can be written as a sum of positive squares in 4 ways, for example, as 675584064 + 7706176 = 25992^2 + 2776^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 683290196 and 683290205.

It is not an unprimeable number, because it can be changed into a prime (683290241) 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, 83784 + ... + 91576.

Almost surely, 2683290240 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 683290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822812580).

683290240 is an abundant number, since it is smaller than the sum of its proper divisors (962334920).

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

683290240 is a wasteful number, since it uses less digits than its factorization.

683290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7949 (or 7937 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 683290240 is about 26139.8209634267. The cubic root of 683290240 is about 880.7819495982.

The spelling of 683290240 in words is "six hundred eighty-three million, two hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 137 160 274 320 548 640 685 1096 1370 2192 2740 4384 5480 7793 8768 10960 15586 17536 21920 31172 38965 43840 62344 77930 87680 124688 155860 249376 311720 498752 623440 997504 1067641 1246880 2135282 2493760 4270564 4987520 5338205 8541128 10676410 17082256 21352820 34164512 42705640 68329024 85411280 136658048 170822560 341645120 683290240