Search a number
-
+
665655540 = 2235111317699
BaseRepresentation
bin100111101011010…
…001100011110100
31201101112210201220
4213223101203310
52330401434130
6150015150340
722331656464
oct4753214364
91641483656
10665655540
11311821950
12166b153b0
13a7ba5b24
1464597ba4
153d68b410
hex27ad18f4

665655540 has 96 divisors (see below), whose sum is σ = 2049062400. Its totient is φ = 160118400.

The previous prime is 665655539. The next prime is 665655559. The reversal of 665655540 is 45556566.

It is a junction number, because it is equal to n+sod(n) for n = 665655492 and 665655501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82611 + ... + 90309.

It is an arithmetic number, because the mean of its divisors is an integer number (21344400).

Almost surely, 2665655540 is an apocalyptic number.

665655540 is a gapful number since it is divisible by the number (60) 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 665655540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024531200).

665655540 is an abundant number, since it is smaller than the sum of its proper divisors (1383406860).

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

665655540 is a wasteful number, since it uses less digits than its factorization.

665655540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7853 (or 7851 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The square root of 665655540 is about 25800.3011610330. The cubic root of 665655540 is about 873.1385910141.

The spelling of 665655540 in words is "six hundred sixty-five million, six hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 131 132 165 220 262 330 393 524 655 660 786 1310 1441 1572 1965 2620 2882 3930 4323 5764 7205 7699 7860 8646 14410 15398 17292 21615 23097 28820 30796 38495 43230 46194 76990 84689 86460 92388 115485 153980 169378 230970 254067 338756 423445 461940 508134 846890 1008569 1016268 1270335 1693780 2017138 2540670 3025707 4034276 5042845 5081340 6051414 10085690 11094259 12102828 15128535 20171380 22188518 30257070 33282777 44377036 55471295 60514140 66565554 110942590 133131108 166413885 221885180 332827770 665655540