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20336148 = 223271747101
BaseRepresentation
bin100110110010…
…0111000010100
31102021011221200
41031210320110
520201224043
62003512500
7334566030
oct115447024
942234850
1020336148
111052a938
126988730
1342a0431
1429b51c0
151bba7d3
hex1364e14

20336148 has 144 divisors (see below), whose sum is σ = 64157184. Its totient is φ = 5299200.

The previous prime is 20336089. The next prime is 20336149. The reversal of 20336148 is 84163302.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20336149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201298 + ... + 201398.

It is an arithmetic number, because the mean of its divisors is an integer number (445536).

Almost surely, 220336148 is an apocalyptic number.

20336148 is a gapful number since it is divisible by the number (28) 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 20336148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32078592).

20336148 is an abundant number, since it is smaller than the sum of its proper divisors (43821036).

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

20336148 is a wasteful number, since it uses less digits than its factorization.

20336148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20336148 is about 4509.5618412436. The cubic root of 20336148 is about 272.9540638405.

The spelling of 20336148 in words is "twenty million, three hundred thirty-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 47 51 63 68 84 94 101 102 119 126 141 153 188 202 204 238 252 282 303 306 329 357 404 423 476 564 606 612 658 707 714 799 846 909 987 1071 1212 1316 1414 1428 1598 1692 1717 1818 1974 2121 2142 2397 2828 2961 3196 3434 3636 3948 4242 4284 4747 4794 5151 5593 5922 6363 6868 7191 8484 9494 9588 10302 11186 11844 12019 12726 14241 14382 15453 16779 18988 20604 22372 24038 25452 28482 28764 30906 33229 33558 36057 42723 48076 50337 56964 61812 66458 67116 72114 80699 85446 99687 100674 108171 132916 144228 161398 170892 199374 201348 216342 242097 299061 322796 398748 432684 484194 564893 598122 726291 968388 1129786 1196244 1452582 1694679 2259572 2905164 3389358 5084037 6778716 10168074 20336148