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4141368 = 233471183
BaseRepresentation
bin1111110011000100111000
321210101220000
433303010320
52030010433
6224433000
750125650
oct17630470
97711800
104141368
112379520
121478760
13b2001a
1479b360
1556c113
hex3f3138

4141368 has 160 divisors (see below), whose sum is σ = 14636160. Its totient is φ = 1062720.

The previous prime is 4141349. The next prime is 4141381. The reversal of 4141368 is 8631414.

It is a super-2 number, since 2×41413682 = 34301857822848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49855 + ... + 49937.

It is an arithmetic number, because the mean of its divisors is an integer number (91476).

Almost surely, 24141368 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 4141368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7318080).

4141368 is an abundant number, since it is smaller than the sum of its proper divisors (10494792).

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

4141368 is a wasteful number, since it uses less digits than its factorization.

4141368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 106 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 4141368 is about 2035.0351348318. The cubic root of 4141368 is about 160.5885614831.

The spelling of 4141368 in words is "four million, one hundred forty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 83 84 88 99 108 126 132 154 162 166 168 189 198 216 231 249 252 264 297 308 324 332 378 396 462 498 504 567 581 594 616 648 664 693 747 756 792 891 913 924 996 1134 1162 1188 1386 1494 1512 1743 1782 1826 1848 1992 2079 2241 2268 2324 2376 2739 2772 2988 3486 3564 3652 4158 4482 4536 4648 5229 5478 5544 5976 6237 6391 6723 6972 7128 7304 8217 8316 8964 10458 10956 12474 12782 13446 13944 15687 16434 16632 17928 19173 20916 21912 24651 24948 25564 26892 31374 32868 38346 41832 47061 49302 49896 51128 53784 57519 62748 65736 73953 76692 94122 98604 115038 125496 147906 153384 172557 188244 197208 230076 295812 345114 376488 460152 517671 591624 690228 1035342 1380456 2070684 4141368