Search a number
-
+
6403711230 = 2335731109297
BaseRepresentation
bin1011111011011000…
…01110000011111110
3121112021201020101000
411331230032003332
5101103322224410
62535233431130
7314455435020
oct57554160376
917467636330
106403711230
112796801034
1212a870b4a6
137b0909657
1444a69c010
152772d0dc0
hex17db0e0fe

6403711230 has 128 divisors (see below), whose sum is σ = 20145807360. Its totient is φ = 1416476160.

The previous prime is 6403711229. The next prime is 6403711277. The reversal of 6403711230 is 321173046.

6403711230 is a `hidden beast` number, since 64 + 0 + 371 + 1 + 230 = 666.

It is a super-2 number, since 2×64037112302 = 82015035034456225800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6403711194 and 6403711203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3942 + ... + 113238.

It is an arithmetic number, because the mean of its divisors is an integer number (157389120).

Almost surely, 26403711230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6403711230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10072903680).

6403711230 is an abundant number, since it is smaller than the sum of its proper divisors (13742096130).

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

6403711230 is a wasteful number, since it uses less digits than its factorization.

6403711230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109351 (or 109345 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 6403711230 is about 80023.1918258701. The cubic root of 6403711230 is about 1856.9943391770.

Adding to 6403711230 its reverse (321173046), we get a palindrome (6724884276).

It can be divided in two parts, 640371 and 1230, that added together give a square (641601 = 8012).

The spelling of 6403711230 in words is "six billion, four hundred three million, seven hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 54 62 63 70 90 93 105 126 135 155 186 189 210 217 270 279 310 315 378 434 465 558 630 651 837 930 945 1085 1302 1395 1674 1890 1953 2170 2790 3255 3906 4185 5859 6510 8370 9765 11718 19530 29295 58590 109297 218594 327891 546485 655782 765079 983673 1092970 1530158 1639455 1967346 2295237 2951019 3278910 3388207 3825395 4590474 4918365 5902038 6776414 6885711 7650790 9836730 10164621 11476185 13771422 14755095 16941035 20329242 20657133 22952370 23717449 29510190 30493863 33882070 34428555 41314266 47434898 50823105 60987726 68857110 71152347 91481589 101646210 103285665 118587245 142304694 152469315 182963178 206571330 213457041 237174490 304938630 355761735 426914082 457407945 640371123 711523470 914815890 1067285205 1280742246 2134570410 3201855615 6403711230