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41026960 = 24513103383
BaseRepresentation
bin1001110010000…
…0010110010000
32212012101102001
42130200112100
541000330320
64023203344
71005503062
oct234402620
985171361
1041026960
1121182187
12118a6554
138666110
14563d732
15390620a
hex2720590

41026960 has 80 divisors (see below), whose sum is σ = 103993344. Its totient is φ = 14962176.

The previous prime is 41026957. The next prime is 41026987. The reversal of 41026960 is 6962014.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×410269603 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106929 + ... + 107311.

Almost surely, 241026960 is an apocalyptic number.

41026960 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 41026960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51996672).

41026960 is an abundant number, since it is smaller than the sum of its proper divisors (62966384).

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

41026960 is a wasteful number, since it uses less digits than its factorization.

41026960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 41026960 is about 6405.2291137788. The cubic root of 41026960 is about 344.8972879145.

Adding to 41026960 its reverse (6962014), we get a palindrome (47988974).

The spelling of 41026960 in words is "forty-one million, twenty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 103 104 130 206 208 260 383 412 515 520 766 824 1030 1040 1339 1532 1648 1915 2060 2678 3064 3830 4120 4979 5356 6128 6695 7660 8240 9958 10712 13390 15320 19916 21424 24895 26780 30640 39449 39832 49790 53560 78898 79664 99580 107120 157796 197245 199160 315592 394490 398320 512837 631184 788980 1025674 1577960 2051348 2564185 3155920 4102696 5128370 8205392 10256740 20513480 41026960