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41097840 = 24357171439
BaseRepresentation
bin1001110011000…
…1101001110000
32212022222122020
42130301221300
541010112330
64024511440
71006216530
oct234615160
985288566
1041097840
1121220463
121191b580
13868c464
14565b4c0
15391c210
hex2731a70

41097840 has 160 divisors (see below), whose sum is σ = 154275840. Its totient is φ = 8835072.

The previous prime is 41097827. The next prime is 41097841. The reversal of 41097840 is 4879014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41097841) 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, 27841 + ... + 29279.

It is an arithmetic number, because the mean of its divisors is an integer number (964224).

Almost surely, 241097840 is an apocalyptic number.

41097840 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 41097840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77137920).

41097840 is an abundant number, since it is smaller than the sum of its proper divisors (113178000).

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

41097840 is a wasteful number, since it uses less digits than its factorization.

41097840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 41097840 is about 6410.7597053703. The cubic root of 41097840 is about 345.0957936051.

The spelling of 41097840 in words is "forty-one million, ninety-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 816 840 952 1020 1190 1360 1428 1439 1680 1785 1904 2040 2380 2856 2878 3570 4080 4317 4760 5712 5756 7140 7195 8634 9520 10073 11512 14280 14390 17268 20146 21585 23024 24463 28560 28780 30219 34536 40292 43170 48926 50365 57560 60438 69072 73389 80584 86340 97852 100730 115120 120876 122315 146778 151095 161168 171241 172680 195704 201460 241752 244630 293556 302190 342482 345360 366945 391408 402920 483504 489260 513723 587112 604380 684964 733890 805840 856205 978520 1027446 1174224 1208760 1369928 1467780 1712410 1957040 2054892 2417520 2568615 2739856 2935560 3424820 4109784 5137230 5871120 6849640 8219568 10274460 13699280 20548920 41097840