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46132020 = 2232511231013
BaseRepresentation
bin1010111111111…
…0101100110100
310012210202020100
42233332230310
543302211040
64324434100
71100054454
oct257765464
9105722210
1046132020
1124049740
1213548930
13973296c
1461abd64
1540b3b30
hex2bfeb34

46132020 has 144 divisors (see below), whose sum is σ = 159449472. Its totient is φ = 10686720.

The previous prime is 46132003. The next prime is 46132091. The reversal of 46132020 is 2023164.

It is a happy number.

46132020 is a `hidden beast` number, since 461 + 3 + 202 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 46131984 and 46132002.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1013 × 45 × 1012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45034 + ... + 46046.

It is an arithmetic number, because the mean of its divisors is an integer number (1107288).

Almost surely, 246132020 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 46132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79724736).

46132020 is an abundant number, since it is smaller than the sum of its proper divisors (113317452).

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

46132020 is a wasteful number, since it uses less digits than its factorization.

46132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 46132020 is about 6792.0556534822. The cubic root of 46132020 is about 358.6472379453.

Adding to 46132020 its reverse (2023164), we get a palindrome (48155184).

The spelling of 46132020 in words is "forty-six million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 460 495 506 660 690 759 828 990 1012 1013 1035 1265 1380 1518 1980 2026 2070 2277 2530 3036 3039 3795 4052 4140 4554 5060 5065 6078 7590 9108 9117 10130 11143 11385 12156 15180 15195 18234 20260 22286 22770 23299 30390 33429 36468 44572 45540 45585 46598 55715 60780 66858 69897 91170 93196 100287 111430 116495 133716 139794 167145 182340 200574 209691 222860 232990 256289 279588 334290 349485 401148 419382 465980 501435 512578 668580 698970 768867 838764 1002870 1025156 1048455 1281445 1397940 1537734 2005740 2096910 2306601 2562890 3075468 3844335 4193820 4613202 5125780 7688670 9226404 11533005 15377340 23066010 46132020