Search a number
-
+
36062260 = 22513532617
BaseRepresentation
bin1000100110010…
…0010000110100
32111212011010021
42021210100310
533212443020
63324534524
7615344533
oct211442064
974764107
1036062260
11193a1123
12100b1444
137618420
144b0a31a
1532751aa
hex2264434

36062260 has 48 divisors (see below), whose sum is σ = 83126736. Its totient is φ = 13059072.

The previous prime is 36062239. The next prime is 36062263. The reversal of 36062260 is 6226063.

It can be written as a sum of positive squares in 8 ways, for example, as 944784 + 35117476 = 972^2 + 5926^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36062263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12472 + ... + 15088.

It is an arithmetic number, because the mean of its divisors is an integer number (1731807).

Almost surely, 236062260 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 36062260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41563368).

36062260 is an abundant number, since it is smaller than the sum of its proper divisors (47064476).

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

36062260 is a wasteful number, since it uses less digits than its factorization.

36062260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 36062260 is about 6005.1860920374. The cubic root of 36062260 is about 330.3829652527.

The spelling of 36062260 in words is "thirty-six million, sixty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 689 1060 1378 2617 2756 3445 5234 6890 10468 13085 13780 26170 34021 52340 68042 136084 138701 170105 277402 340210 554804 680420 693505 1387010 1803113 2774020 3606226 7212452 9015565 18031130 36062260