Search a number
-
+
65817340 = 22531831279
BaseRepresentation
bin1111101100010…
…0101011111100
311120211212102021
43323010223330
5113322123330
610310405524
71426303201
oct373045374
9146755367
1065817340
11341745a6
121a0608a4
1310835a94
148a53ca8
155ba167a
hex3ec4afc

65817340 has 48 divisors (see below), whose sum is σ = 144506880. Its totient is φ = 25151040.

The previous prime is 65817317. The next prime is 65817373. The reversal of 65817340 is 4371856.

It is a junction number, because it is equal to n+sod(n) for n = 65817296 and 65817305.

It is a congruent number.

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, 50821 + ... + 52099.

It is an arithmetic number, because the mean of its divisors is an integer number (3010560).

Almost surely, 265817340 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 65817340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72253440).

65817340 is an abundant number, since it is smaller than the sum of its proper divisors (78689540).

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

65817340 is a wasteful number, since it uses less digits than its factorization.

65817340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 65817340 is about 8112.7886697485. The cubic root of 65817340 is about 403.7508430045.

The spelling of 65817340 in words is "sixty-five million, eight hundred seventeen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 83 124 155 166 310 332 415 620 830 1279 1660 2558 2573 5116 5146 6395 10292 12790 12865 25580 25730 39649 51460 79298 106157 158596 198245 212314 396490 424628 530785 792980 1061570 2123140 3290867 6581734 13163468 16454335 32908670 65817340