Search a number
-
+
41306040 = 23325179641
BaseRepresentation
bin1001110110010…
…0011110111000
32212201120020100
42131210132320
541033243130
64033155400
71011044526
oct235443670
985646210
1041306040
1121352926
12119bbb60
138733159
1456b3316
15395dc60
hex27647b8

41306040 has 96 divisors (see below), whose sum is σ = 135205200. Its totient is φ = 10936320.

The previous prime is 41306033. The next prime is 41306047. The reversal of 41306040 is 4060314.

It is an interprime number because it is at equal distance from previous prime (41306033) and next prime (41306047).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41306047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64120 + ... + 64760.

Almost surely, 241306040 is an apocalyptic number.

41306040 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 41306040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67602600).

41306040 is an abundant number, since it is smaller than the sum of its proper divisors (93899160).

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

41306040 is a wasteful number, since it uses less digits than its factorization.

41306040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 41306040 is about 6426.9775166870. The cubic root of 41306040 is about 345.6775594318.

Adding to 41306040 its reverse (4060314), we get a palindrome (45366354).

The spelling of 41306040 in words is "forty-one million, three hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 179 180 358 360 537 641 716 895 1074 1282 1432 1611 1790 1923 2148 2564 2685 3205 3222 3580 3846 4296 5128 5370 5769 6410 6444 7160 7692 8055 9615 10740 11538 12820 12888 15384 16110 19230 21480 23076 25640 28845 32220 38460 46152 57690 64440 76920 114739 115380 229478 230760 344217 458956 573695 688434 917912 1032651 1147390 1376868 1721085 2065302 2294780 2753736 3442170 4130604 4589560 5163255 6884340 8261208 10326510 13768680 20653020 41306040