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41440 = 255737
BaseRepresentation
bin1010000111100000
32002211211
422013200
52311230
6515504
7231550
oct120740
962754
1041440
1129153
121bb94
1315b29
1411160
15c42a
hexa1e0

41440 has 48 divisors (see below), whose sum is σ = 114912. Its totient is φ = 13824.

The previous prime is 41413. The next prime is 41443. The reversal of 41440 is 4414.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 41440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1102 + ... + 1138.

It is an arithmetic number, because the mean of its divisors is an integer number (2394).

241440 is an apocalyptic number.

41440 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 41440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456).

41440 is an abundant number, since it is smaller than the sum of its proper divisors (73472).

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

41440 is a wasteful number, since it uses less digits than its factorization.

41440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 41440 is about 203.5681704000. The cubic root of 41440 is about 34.6050846215.

Adding to 41440 its reverse (4414), we get a palindrome (45854).

It can be divided in two parts, 414 and 40, that added together give a palindrome (454).

The spelling of 41440 in words is "forty-one thousand, four hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 70 74 80 112 140 148 160 185 224 259 280 296 370 518 560 592 740 1036 1120 1184 1295 1480 2072 2590 2960 4144 5180 5920 8288 10360 20720 41440