Search a number
-
+
65352540 = 223511831193
BaseRepresentation
bin1111100101001…
…1001101011100
311112222020211110
43321103031130
5113212240130
610252422020
71422326121
oct371231534
9145866743
1065352540
1133987370
1219a77910
1310702356
148972748
155b0dab0
hex3e5335c

65352540 has 96 divisors (see below), whose sum is σ = 202196736. Its totient is φ = 15639040.

The previous prime is 65352527. The next prime is 65352541. The reversal of 65352540 is 4525356.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 65352498 and 65352507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65352541) 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, 54184 + ... + 55376.

It is an arithmetic number, because the mean of its divisors is an integer number (2106216).

Almost surely, 265352540 is an apocalyptic number.

65352540 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 65352540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101098368).

65352540 is an abundant number, since it is smaller than the sum of its proper divisors (136844196).

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

65352540 is a wasteful number, since it uses less digits than its factorization.

65352540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 65352540 is about 8084.0917857234. The cubic root of 65352540 is about 402.7981716119.

Adding to 65352540 its reverse (4525356), we get a palindrome (69877896).

The spelling of 65352540 in words is "sixty-five million, three hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 83 110 132 165 166 220 249 330 332 415 498 660 830 913 996 1193 1245 1660 1826 2386 2490 2739 3579 3652 4565 4772 4980 5478 5965 7158 9130 10956 11930 13123 13695 14316 17895 18260 23860 26246 27390 35790 39369 52492 54780 65615 71580 78738 99019 131230 157476 196845 198038 262460 297057 393690 396076 495095 594114 787380 990190 1089209 1188228 1485285 1980380 2178418 2970570 3267627 4356836 5446045 5941140 6535254 10892090 13070508 16338135 21784180 32676270 65352540