Search a number
-
+
41313720 = 23357137359
BaseRepresentation
bin1001110110011…
…0010110111000
32212201221202210
42131212112320
541034014340
64033255120
71011106110
oct235462670
985657683
1041313720
1121358678
1211a044a0
1387367b6
1456b6040
153961180
hex27665b8

41313720 has 128 divisors (see below), whose sum is σ = 143078400. Its totient is φ = 9348096.

The previous prime is 41313709. The next prime is 41313721. The reversal of 41313720 is 2731314.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41313721) 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, 114901 + ... + 115259.

It is an arithmetic number, because the mean of its divisors is an integer number (1117800).

Almost surely, 241313720 is an apocalyptic number.

41313720 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 41313720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71539200).

41313720 is an abundant number, since it is smaller than the sum of its proper divisors (101764680).

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

41313720 is a wasteful number, since it uses less digits than its factorization.

41313720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 41313720 is about 6427.5749703912. The cubic root of 41313720 is about 345.6989819578.

The spelling of 41313720 in words is "forty-one million, three hundred thirteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 137 140 168 210 274 280 359 411 420 548 685 718 822 840 959 1077 1096 1370 1436 1644 1795 1918 2055 2154 2513 2740 2872 2877 3288 3590 3836 4110 4308 4795 5026 5385 5480 5754 7180 7539 7672 8220 8616 9590 10052 10770 11508 12565 14360 14385 15078 16440 19180 20104 21540 23016 25130 28770 30156 37695 38360 43080 49183 50260 57540 60312 75390 98366 100520 115080 147549 150780 196732 245915 295098 301560 344281 393464 491830 590196 688562 737745 983660 1032843 1180392 1377124 1475490 1721405 1967320 2065686 2754248 2950980 3442810 4131372 5164215 5901960 6885620 8262744 10328430 13771240 20656860 41313720