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41330640 = 24351321019
BaseRepresentation
bin1001110110101…
…0011111010000
32212202210222110
42131222133100
541040040030
64033505320
71011206331
oct235523720
985683873
1041330640
112136a35a
1211a12240
138741400
1456bc288
1539661b0
hex276a7d0

41330640 has 120 divisors (see below), whose sum is σ = 138875040. Its totient is φ = 10163712.

The previous prime is 41330617. The next prime is 41330647. The reversal of 41330640 is 4603314.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41330647) 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, 40051 + ... + 41069.

It is an arithmetic number, because the mean of its divisors is an integer number (1157292).

Almost surely, 241330640 is an apocalyptic number.

41330640 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 41330640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69437520).

41330640 is an abundant number, since it is smaller than the sum of its proper divisors (97544400).

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

41330640 is a wasteful number, since it uses less digits than its factorization.

41330640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 41330640 is about 6428.8910396739. The cubic root of 41330640 is about 345.7461690943.

Adding to 41330640 its reverse (4603314), we get a palindrome (45933954).

The spelling of 41330640 in words is "forty-one million, three hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1019 1040 1352 1560 1690 2028 2038 2535 2704 3057 3120 3380 4056 4076 5070 5095 6114 6760 8112 8152 10140 10190 12228 13247 13520 15285 16304 20280 20380 24456 26494 30570 39741 40560 40760 48912 52988 61140 66235 79482 81520 105976 122280 132470 158964 172211 198705 211952 244560 264940 317928 344422 397410 516633 529880 635856 688844 794820 861055 1033266 1059760 1377688 1589640 1722110 2066532 2583165 2755376 3179280 3444220 4133064 5166330 6888440 8266128 10332660 13776880 20665320 41330640