Search a number
-
+
20132616 = 2337293409
BaseRepresentation
bin100110011001…
…1001100001000
31101212211202110
41030303030020
520123220431
61555302320
7333060450
oct114631410
941784673
1020132616
1110400a29
1268aa9a0
13422b8ba
142960d60
151b7a346
hex1333308

20132616 has 64 divisors (see below), whose sum is σ = 57859200. Its totient is φ = 5718528.

The previous prime is 20132611. The next prime is 20132617. The reversal of 20132616 is 61623102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20132592 and 20132601.

It is not an unprimeable number, because it can be changed into a prime (20132611) 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, 49020 + ... + 49428.

It is an arithmetic number, because the mean of its divisors is an integer number (904050).

Almost surely, 220132616 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 20132616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28929600).

20132616 is an abundant number, since it is smaller than the sum of its proper divisors (37726584).

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

20132616 is a wasteful number, since it uses less digits than its factorization.

20132616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 20132616 is about 4486.9383771119. The cubic root of 20132616 is about 272.0403991320.

Adding to 20132616 its reverse (61623102), we get a palindrome (81755718).

The spelling of 20132616 in words is "twenty million, one hundred thirty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 293 409 586 818 879 1172 1227 1636 1758 2051 2344 2454 2863 3272 3516 4102 4908 5726 6153 7032 8204 8589 9816 11452 12306 16408 17178 22904 24612 34356 49224 68712 119837 239674 359511 479348 719022 838859 958696 1438044 1677718 2516577 2876088 3355436 5033154 6710872 10066308 20132616