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41065440 = 2535136581
BaseRepresentation
bin1001110010100…
…1101111100000
32212021100012020
42130221233200
541003043230
64024101440
71006023213
oct234515740
985240166
1041065440
11211a9089
1211904880
13867a7a0
14564d77a
153912810
hex2729be0

41065440 has 96 divisors (see below), whose sum is σ = 139327776. Its totient is φ = 10106880.

The previous prime is 41065429. The next prime is 41065447. The reversal of 41065440 is 4456014.

41065440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41065440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41065447) 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 15 ways as a sum of consecutive naturals, for example, 2950 + ... + 9530.

It is an arithmetic number, because the mean of its divisors is an integer number (1451331).

Almost surely, 241065440 is an apocalyptic number.

41065440 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 41065440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69663888).

41065440 is an abundant number, since it is smaller than the sum of its proper divisors (98262336).

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

41065440 is a wasteful number, since it uses less digits than its factorization.

41065440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6612 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 41065440 is about 6408.2322055306. The cubic root of 41065440 is about 345.0050828909.

The spelling of 41065440 in words is "forty-one million, sixty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 6581 13162 19743 26324 32905 39486 52648 65810 78972 85553 98715 105296 131620 157944 171106 197430 210592 256659 263240 315888 342212 394860 427765 513318 526480 631776 684424 789720 855530 1026636 1052960 1283295 1368848 1579440 1711060 2053272 2566590 2737696 3158880 3422120 4106544 5133180 6844240 8213088 10266360 13688480 20532720 41065440