Search a number
-
+
41213040 = 24351167233
BaseRepresentation
bin1001110100110…
…1110001110000
32212112211122220
42131031301300
541022304130
64031201040
71010206431
oct235156160
985484586
1041213040
1121299a70
1211976180
1386cca1b
14568b488
153941410
hex274dc70

41213040 has 160 divisors (see below), whose sum is σ = 142062336. Its totient is φ = 9799680.

The previous prime is 41212979. The next prime is 41213041. The reversal of 41213040 is 4031214.

41213040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41213041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176764 + ... + 176996.

Almost surely, 241213040 is an apocalyptic number.

41213040 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 41213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71031168).

41213040 is an abundant number, since it is smaller than the sum of its proper divisors (100849296).

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

41213040 is a wasteful number, since it uses less digits than its factorization.

41213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 41213040 is about 6419.7383124236. The cubic root of 41213040 is about 345.4179350105.

Adding to 41213040 its reverse (4031214), we get a palindrome (45244254).

The spelling of 41213040 in words is "forty-one million, two hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 67 80 88 110 120 132 134 165 176 201 220 233 240 264 268 330 335 402 440 466 528 536 660 670 699 737 804 880 932 1005 1072 1165 1320 1340 1398 1474 1608 1864 2010 2211 2330 2563 2640 2680 2796 2948 3216 3495 3685 3728 4020 4422 4660 5126 5360 5592 5896 6990 7370 7689 8040 8844 9320 10252 11055 11184 11792 12815 13980 14740 15378 15611 16080 17688 18640 20504 22110 25630 27960 29480 30756 31222 35376 38445 41008 44220 46833 51260 55920 58960 61512 62444 76890 78055 88440 93666 102520 123024 124888 153780 156110 171721 176880 187332 205040 234165 249776 307560 312220 343442 374664 468330 515163 615120 624440 686884 749328 858605 936660 1030326 1248880 1373768 1717210 1873320 2060652 2575815 2747536 3434420 3746640 4121304 5151630 6868840 8242608 10303260 13737680 20606520 41213040