Search a number
-
+
41613320 = 2357331449
BaseRepresentation
bin1001111010111…
…1100000001000
32220022011202002
42132233200020
541123111240
64043530132
71013464430
oct236574010
986264662
1041613320
1121542781
1211b29948
13880cc88
1457532c0
1539bed15
hex27af808

41613320 has 64 divisors (see below), whose sum is σ = 107568000. Its totient is φ = 14192640.

The previous prime is 41613317. The next prime is 41613323. The reversal of 41613320 is 2331614.

It is an interprime number because it is at equal distance from previous prime (41613317) and next prime (41613323).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 41613292 and 41613301.

It is not an unprimeable number, because it can be changed into a prime (41613323) 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, 92456 + ... + 92904.

It is an arithmetic number, because the mean of its divisors is an integer number (1680750).

Almost surely, 241613320 is an apocalyptic number.

41613320 is a gapful number since it is divisible by the number (40) 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 41613320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53784000).

41613320 is an abundant number, since it is smaller than the sum of its proper divisors (65954680).

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

41613320 is a wasteful number, since it uses less digits than its factorization.

41613320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 41613320 is about 6450.8387051607. The cubic root of 41613320 is about 346.5326199364.

Adding to 41613320 its reverse (2331614), we get a palindrome (43944934).

The spelling of 41613320 in words is "forty-one million, six hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 331 449 662 898 1324 1655 1796 2245 2317 2648 3143 3310 3592 4490 4634 6286 6620 8980 9268 11585 12572 13240 15715 17960 18536 23170 25144 31430 46340 62860 92680 125720 148619 297238 594476 743095 1040333 1188952 1486190 2080666 2972380 4161332 5201665 5944760 8322664 10403330 20806660 41613320