Search a number
-
+
6709640224 = 257238914633
BaseRepresentation
bin1100011111110110…
…01111110000100000
3122022121101001001111
412033323033300200
5102220131441344
63025442513104
7325162000210
oct61773176040
918277331044
106709640224
112933465011
121373065794
1382c102021
14479176240
152940b1834
hex18fecfc20

6709640224 has 96 divisors (see below), whose sum is σ = 15931157760. Its totient is φ = 2719444992.

The previous prime is 6709640209. The next prime is 6709640239. The reversal of 6709640224 is 4220469076.

It is an interprime number because it is at equal distance from previous prime (6709640209) and next prime (6709640239).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451212 + ... + 465844.

It is an arithmetic number, because the mean of its divisors is an integer number (165949560).

Almost surely, 26709640224 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 6709640224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7965578880).

6709640224 is an abundant number, since it is smaller than the sum of its proper divisors (9221517536).

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

6709640224 is a wasteful number, since it uses less digits than its factorization.

6709640224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14762 (or 14754 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 6709640224 is about 81912.3935921787. The cubic root of 6709640224 is about 1886.1073661386.

The spelling of 6709640224 in words is "six billion, seven hundred nine million, six hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 89 92 112 161 178 184 224 322 356 368 623 644 712 736 1246 1288 1424 2047 2492 2576 2848 4094 4984 5152 8188 9968 14329 14633 16376 19936 28658 29266 32752 57316 58532 65504 102431 114632 117064 204862 229264 234128 336559 409724 458528 468256 673118 819448 1302337 1346236 1638896 2355913 2604674 2692472 3277792 4711826 5209348 5384944 9116359 9423652 10418696 10769888 18232718 18847304 20837392 29953751 36465436 37694608 41674784 59907502 72930872 75389216 119815004 145861744 209676257 239630008 291723488 419352514 479260016 838705028 958520032 1677410056 3354820112 6709640224