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41354240 = 210541197
BaseRepresentation
bin1001110111000…
…0010000000000
32212211000100112
42131300100000
541041313430
64034210452
71011335204
oct235602000
985730315
1041354240
1121386064
1211a23a28
13874c085
1456c6b04
15396d195
hex2770400

41354240 has 88 divisors (see below), whose sum is σ = 102137112. Its totient is φ = 16056320.

The previous prime is 41354231. The next prime is 41354263. The reversal of 41354240 is 4245314.

It can be written as a sum of positive squares in 4 ways, for example, as 5161984 + 36192256 = 2272^2 + 6016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209822 + ... + 210018.

It is an arithmetic number, because the mean of its divisors is an integer number (1160649).

Almost surely, 241354240 is an apocalyptic number.

41354240 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 41354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51068556).

41354240 is an abundant number, since it is smaller than the sum of its proper divisors (60782872).

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

41354240 is a wasteful number, since it uses less digits than its factorization.

41354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 41354240 is about 6430.7262420352. The cubic root of 41354240 is about 345.8119641640.

Adding to 41354240 its reverse (4245314), we get a palindrome (45599554).

The spelling of 41354240 in words is "forty-one million, three hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 197 205 256 320 328 394 410 512 640 656 788 820 985 1024 1280 1312 1576 1640 1970 2560 2624 3152 3280 3940 5120 5248 6304 6560 7880 8077 10496 12608 13120 15760 16154 20992 25216 26240 31520 32308 40385 41984 50432 52480 63040 64616 80770 100864 104960 126080 129232 161540 201728 209920 252160 258464 323080 504320 516928 646160 1008640 1033856 1292320 2067712 2584640 4135424 5169280 8270848 10338560 20677120 41354240