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41139840 = 273573061
BaseRepresentation
bin1001110011101…
…1111010000000
32212102010020210
42130323322000
541012433330
64025434120
71006453140
oct234737200
985363223
1041139840
1121249a75
121193b940
1386a5601
14566c920
1539298b0
hex273be80

41139840 has 128 divisors (see below), whose sum is σ = 149915520. Its totient is φ = 9400320.

The previous prime is 41139829. The next prime is 41139841. The reversal of 41139840 is 4893114.

It is a happy number.

41139840 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 (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41139798 and 41139807.

It is not an unprimeable number, because it can be changed into a prime (41139841) 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, 11910 + ... + 14970.

It is an arithmetic number, because the mean of its divisors is an integer number (1171215).

Almost surely, 241139840 is an apocalyptic number.

41139840 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 41139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74957760).

41139840 is an abundant number, since it is smaller than the sum of its proper divisors (108775680).

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

41139840 is a wasteful number, since it uses less digits than its factorization.

41139840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 41139840 is about 6414.0346116933. The cubic root of 41139840 is about 345.2133106387.

The spelling of 41139840 in words is "forty-one million, one hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3061 3360 4480 6122 6720 9183 12244 13440 15305 18366 21427 24488 30610 36732 42854 45915 48976 61220 64281 73464 85708 91830 97952 107135 122440 128562 146928 171416 183660 195904 214270 244880 257124 293856 321405 342832 367320 391808 428540 489760 514248 587712 642810 685664 734640 857080 979520 1028496 1175424 1285620 1371328 1469280 1714160 1959040 2056992 2571240 2742656 2938560 3428320 4113984 5142480 5877120 6856640 8227968 10284960 13713280 20569920 41139840