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41015040 = 283511971
BaseRepresentation
bin1001110001110…
…1011100000000
32212011210001120
42130131130000
540444440130
64023032240
71005423243
oct234353400
985153046
1041015040
1121174230
121189b680
138660871
14563925a
153902910
hex271d700

41015040 has 144 divisors (see below), whose sum is σ = 143047296. Its totient is φ = 9932800.

The previous prime is 41015011. The next prime is 41015063. The reversal of 41015040 is 4051014.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41755 + ... + 42725.

It is an arithmetic number, because the mean of its divisors is an integer number (993384).

Almost surely, 241015040 is an apocalyptic number.

41015040 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 41015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71523648).

41015040 is an abundant number, since it is smaller than the sum of its proper divisors (102032256).

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

41015040 is a wasteful number, since it uses less digits than its factorization.

41015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 41015040 is about 6404.2985564385. The cubic root of 41015040 is about 344.8638824506.

Adding to 41015040 its reverse (4051014), we get a palindrome (45066054).

The spelling of 41015040 in words is "forty-one million, fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 971 1056 1280 1320 1408 1760 1920 1942 2112 2640 2816 2913 3520 3840 3884 4224 4855 5280 5826 7040 7768 8448 9710 10560 10681 11652 14080 14565 15536 19420 21120 21362 23304 29130 31072 32043 38840 42240 42724 46608 53405 58260 62144 64086 77680 85448 93216 106810 116520 124288 128172 155360 160215 170896 186432 213620 233040 248576 256344 310720 320430 341792 372864 427240 466080 512688 621440 640860 683584 745728 854480 932160 1025376 1242880 1281720 1367168 1708960 1864320 2050752 2563440 2734336 3417920 3728640 4101504 5126880 6835840 8203008 10253760 13671680 20507520 41015040