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20004096 = 2837612
BaseRepresentation
bin100110001001…
…1110100000000
31101122022110110
41030103310000
520110112341
61552431320
7332013660
oct114236400
941568413
1020004096
1110323412
126848540
1341b5258
14292a1a0
151b52216
hex1313d00

20004096 has 108 divisors (see below), whose sum is σ = 61859616. Its totient is φ = 5621760.

The previous prime is 20004071. The next prime is 20004107. The reversal of 20004096 is 69040002.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327906 + ... + 327966.

Almost surely, 220004096 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 20004096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30929808).

20004096 is an abundant number, since it is smaller than the sum of its proper divisors (41855520).

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

20004096 is an frugal number, since it uses more digits than its factorization.

20004096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 20004096 is about 4472.5938782769. The cubic root of 20004096 is about 271.4602908189.

Multiplying 20004096 by its sum of digits (21), we get a square (420086016 = 204962).

20004096 divided by its sum of digits (21) gives a square (952576 = 9762).

Adding to 20004096 its reverse (69040002), we get a palindrome (89044098).

The spelling of 20004096 in words is "twenty million, four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 128 168 183 192 224 244 256 336 366 384 427 448 488 672 732 768 854 896 976 1281 1344 1464 1708 1792 1952 2562 2688 2928 3416 3721 3904 5124 5376 5856 6832 7442 7808 10248 11163 11712 13664 14884 15616 20496 22326 23424 26047 27328 29768 40992 44652 46848 52094 54656 59536 78141 81984 89304 104188 109312 119072 156282 163968 178608 208376 238144 312564 327936 357216 416752 476288 625128 714432 833504 952576 1250256 1428864 1667008 2500512 2857728 3334016 5001024 6668032 10002048 20004096