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41412240 = 24325113509
BaseRepresentation
bin1001110111111…
…0011010010000
32212220221220200
42131332122100
541100142430
64035335200
71011666252
oct235763220
985827820
1041412240
11214156a1
1211a51500
13876c5ac
1456ddcd2
153980460
hex277e690

41412240 has 120 divisors (see below), whose sum is σ = 140582520. Its totient is φ = 10924032.

The previous prime is 41412233. The next prime is 41412253. The reversal of 41412240 is 4221414.

41412240 is a `hidden beast` number, since 414 + 12 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1115136 + 40297104 = 1056^2 + 6348^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81106 + ... + 81614.

It is an arithmetic number, because the mean of its divisors is an integer number (1171521).

Almost surely, 241412240 is an apocalyptic number.

41412240 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 41412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70291260).

41412240 is an abundant number, since it is smaller than the sum of its proper divisors (99170280).

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

41412240 is a wasteful number, since it uses less digits than its factorization.

41412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 41412240 is about 6435.2342614702. The cubic root of 41412240 is about 345.9735576260.

Adding to 41412240 its reverse (4221414), we get a palindrome (45633654).

The spelling of 41412240 in words is "forty-one million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 113 120 144 180 226 240 339 360 452 509 565 678 720 904 1017 1018 1130 1356 1527 1695 1808 2034 2036 2260 2545 2712 3054 3390 4068 4072 4520 4581 5085 5090 5424 6108 6780 7635 8136 8144 9040 9162 10170 10180 12216 13560 15270 16272 18324 20340 20360 22905 24432 27120 30540 36648 40680 40720 45810 57517 61080 73296 81360 91620 115034 122160 172551 183240 230068 287585 345102 366480 460136 517653 575170 690204 862755 920272 1035306 1150340 1380408 1725510 2070612 2300680 2588265 2760816 3451020 4141224 4601360 5176530 6902040 8282448 10353060 13804080 20706120 41412240