Search a number
-
+
13776630 = 2357172227
BaseRepresentation
bin110100100011…
…011011110110
3221220220222120
4310203123312
512011323010
61211140410
7225046050
oct64433366
927826876
1013776630
11785a64a
124744706
132b1486a
141b888d0
151321e70
hexd236f6

13776630 has 96 divisors (see below), whose sum is σ = 40317696. Its totient is φ = 2950656.

The previous prime is 13776611. The next prime is 13776649. The reversal of 13776630 is 3667731.

It is an interprime number because it is at equal distance from previous prime (13776611) and next prime (13776649).

It is a junction number, because it is equal to n+sod(n) for n = 13776591 and 13776600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60577 + ... + 60803.

It is an arithmetic number, because the mean of its divisors is an integer number (419976).

Almost surely, 213776630 is an apocalyptic number.

13776630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13776630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20158848).

13776630 is an abundant number, since it is smaller than the sum of its proper divisors (26541066).

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

13776630 is a wasteful number, since it uses less digits than its factorization.

13776630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 33.

The square root of 13776630 is about 3711.6882951024. The cubic root of 13776630 is about 239.7255543401.

It can be divided in two parts, 137 and 76630, that added together give a palindrome (76767).

The spelling of 13776630 in words is "thirteen million, seven hundred seventy-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 227 238 255 289 357 454 510 578 595 681 714 867 1135 1190 1362 1445 1589 1734 1785 2023 2270 2890 3178 3405 3570 3859 4046 4335 4767 6069 6810 7718 7945 8670 9534 10115 11577 12138 15890 19295 20230 23154 23835 27013 30345 38590 47670 54026 57885 60690 65603 81039 115770 131206 135065 162078 196809 270130 328015 393618 405195 459221 656030 810390 918442 984045 1377663 1968090 2296105 2755326 4592210 6888315 13776630