Search a number
-
+
13765332 = 22373743103
BaseRepresentation
bin110100100000…
…101011010100
3221220100111010
4310200223110
512010442312
61211012220
7225001110
oct64405324
927810433
1013765332
117852109
12473a070
132b0c689
141b84740
15131d93c
hexd20ad4

13765332 has 96 divisors (see below), whose sum is σ = 38950912. Its totient is φ = 3701376.

The previous prime is 13765331. The next prime is 13765337. The reversal of 13765332 is 23356731.

It is a self number, because there is not a number n which added to its sum of digits gives 13765332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13765331) 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, 133593 + ... + 133695.

Almost surely, 213765332 is an apocalyptic number.

13765332 is a gapful number since it is divisible by the number (12) 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 13765332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19475456).

13765332 is an abundant number, since it is smaller than the sum of its proper divisors (25185580).

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

13765332 is a wasteful number, since it uses less digits than its factorization.

13765332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 195 counting only the distinct ones).

The product of its digits is 11340, while the sum is 30.

The square root of 13765332 is about 3710.1660340206. The cubic root of 13765332 is about 239.6600046852.

The spelling of 13765332 in words is "thirteen million, seven hundred sixty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 43 74 84 86 103 111 129 148 172 206 222 258 259 301 309 412 444 516 518 602 618 721 777 903 1036 1204 1236 1442 1554 1591 1806 2163 2884 3108 3182 3612 3811 4326 4429 4773 6364 7622 8652 8858 9546 11137 11433 13287 15244 17716 19092 22274 22866 26574 26677 31003 33411 44548 45732 53148 53354 62006 66822 80031 93009 106708 124012 133644 160062 163873 186018 320124 327746 372036 491619 655492 983238 1147111 1966476 2294222 3441333 4588444 6882666 13765332