Search a number
-
+
20693904 = 2437112509
BaseRepresentation
bin100111011110…
…0001110010000
31102221100200220
41032330032100
520244201104
62015313040
7340616040
oct116741620
942840626
1020693904
1110754700
126b1b780
13439721a
142a69720
151c3b7d9
hex13bc390

20693904 has 120 divisors (see below), whose sum is σ = 67287360. Its totient is φ = 5364480.

The previous prime is 20693891. The next prime is 20693909. The reversal of 20693904 is 40939602.

It is a super-2 number, since 2×206939042 = 856475325522432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (20693909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40402 + ... + 40910.

It is an arithmetic number, because the mean of its divisors is an integer number (560728).

Almost surely, 220693904 is an apocalyptic number.

20693904 is a gapful number since it is divisible by the number (24) 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 20693904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33643680).

20693904 is an abundant number, since it is smaller than the sum of its proper divisors (46593456).

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

20693904 is a wasteful number, since it uses less digits than its factorization.

20693904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 20693904 is about 4549.0552865403. The cubic root of 20693904 is about 274.5453821935.

The spelling of 20693904 in words is "twenty million, six hundred ninety-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 509 528 616 726 847 924 968 1018 1232 1452 1527 1694 1848 1936 2036 2541 2904 3054 3388 3563 3696 4072 5082 5599 5808 6108 6776 7126 8144 10164 10689 11198 12216 13552 14252 16797 20328 21378 22396 24432 28504 33594 39193 40656 42756 44792 57008 61589 67188 78386 85512 89584 117579 123178 134376 156772 171024 184767 235158 246356 268752 313544 369534 431123 470316 492712 627088 739068 862246 940632 985424 1293369 1478136 1724492 1881264 2586738 2956272 3448984 5173476 6897968 10346952 20693904