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53900640 = 253454159
BaseRepresentation
bin1100110110011…
…1010101100000
310202102102210000
43031213111200
5102244310030
65203140000
71223101503
oct315472540
9122372700
1053900640
1128475392
1216074600
13b222991
14723113a
154aea860
hex3367560

53900640 has 120 divisors (see below), whose sum is σ = 190270080. Its totient is φ = 14370048.

The previous prime is 53900633. The next prime is 53900653. The reversal of 53900640 is 4600935.

It is a happy number.

53900640 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 10881 + ... + 15039.

It is an arithmetic number, because the mean of its divisors is an integer number (1585584).

Almost surely, 253900640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53900640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95135040).

53900640 is an abundant number, since it is smaller than the sum of its proper divisors (136369440).

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

53900640 is a wasteful number, since it uses less digits than its factorization.

53900640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 53900640 is about 7341.7055239229. The cubic root of 53900640 is about 377.7443471635.

The spelling of 53900640 in words is "fifty-three million, nine hundred thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4159 4320 6480 8318 12477 12960 16636 20795 24954 33272 37431 41590 49908 62385 66544 74862 83180 99816 112293 124770 133088 149724 166360 187155 199632 224586 249540 299448 332720 336879 374310 399264 449172 499080 561465 598896 665440 673758 748620 898344 998160 1122930 1197792 1347516 1497240 1684395 1796688 1996320 2245860 2695032 2994480 3368790 3593376 4491720 5390064 5988960 6737580 8983440 10780128 13475160 17966880 26950320 53900640