Search a number
-
+
10802260 = 22571931131
BaseRepresentation
bin101001001101…
…010001010100
3202022210220201
4221031101110
510231133020
61023310244
7160550320
oct51152124
922283821
1010802260
116108997
12374b384
132312a91
141612980
15e35a0a
hexa4d454

10802260 has 96 divisors (see below), whose sum is σ = 28385280. Its totient is φ = 3369600.

The previous prime is 10802243. The next prime is 10802263. The reversal of 10802260 is 6220801.

It is a happy number.

It is a super-2 number, since 2×108022602 = 233377642215200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10802263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82395 + ... + 82525.

It is an arithmetic number, because the mean of its divisors is an integer number (295680).

Almost surely, 210802260 is an apocalyptic number.

10802260 is a gapful number since it is divisible by the number (10) 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 10802260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14192640).

10802260 is an abundant number, since it is smaller than the sum of its proper divisors (17583020).

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

10802260 is a wasteful number, since it uses less digits than its factorization.

10802260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10802260 is about 3286.6791750945. The cubic root of 10802260 is about 221.0573071971.

The spelling of 10802260 in words is "ten million, eight hundred two thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 31 35 38 62 70 76 95 124 131 133 140 155 190 217 262 266 310 380 434 524 532 589 620 655 665 868 917 1085 1178 1310 1330 1834 2170 2356 2489 2620 2660 2945 3668 4061 4123 4340 4585 4978 5890 8122 8246 9170 9956 11780 12445 16244 16492 17423 18340 20305 20615 24890 28427 34846 40610 41230 49780 56854 69692 77159 81220 82460 87115 113708 142135 154318 174230 284270 308636 348460 385795 540113 568540 771590 1080226 1543180 2160452 2700565 5401130 10802260