Search a number
-
+
65513532 = 223737107197
BaseRepresentation
bin1111100111101…
…0100000111100
311120021102200010
43321322200330
5113232413112
610300103220
71423566360
oct371724074
9146242603
1065513532
1133a87317
1219b34b10
131075a706
1489b52a0
155b4163c
hex3e7a83c

65513532 has 96 divisors (see below), whose sum is σ = 182020608. Its totient is φ = 17950464.

The previous prime is 65513527. The next prime is 65513533. The reversal of 65513532 is 23531556.

It is a self number, because there is not a number n which added to its sum of digits gives 65513532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65513533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332458 + ... + 332654.

It is an arithmetic number, because the mean of its divisors is an integer number (1896048).

Almost surely, 265513532 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 65513532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91010304).

65513532 is an abundant number, since it is smaller than the sum of its proper divisors (116507076).

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

65513532 is a wasteful number, since it uses less digits than its factorization.

65513532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 353 counting only the distinct ones).

The product of its digits is 13500, while the sum is 30.

The square root of 65513532 is about 8094.0429946968. The cubic root of 65513532 is about 403.1286566341.

The spelling of 65513532 in words is "sixty-five million, five hundred thirteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 107 111 148 197 214 222 259 321 394 428 444 518 591 642 749 777 788 1036 1182 1284 1379 1498 1554 2247 2364 2758 2996 3108 3959 4137 4494 5516 7289 7918 8274 8988 11877 14578 15836 16548 21079 21867 23754 27713 29156 42158 43734 47508 51023 55426 63237 83139 84316 87468 102046 110852 126474 147553 153069 166278 204092 252948 295106 306138 332556 442659 590212 612276 779923 885318 1559846 1770636 2339769 3119692 4679538 5459461 9359076 10918922 16378383 21837844 32756766 65513532