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20704608 = 2532293767
BaseRepresentation
bin100111011111…
…0110101100000
31102221220101100
41032332311200
520300021413
62015434400
7340662201
oct116766540
942856340
1020704608
1110761751
126b25a00
13439c062
142a6d5a8
151c3ea73
hex13bed60

20704608 has 144 divisors (see below), whose sum is σ = 63488880. Its totient is φ = 6386688.

The previous prime is 20704603. The next prime is 20704627. The reversal of 20704608 is 80640702.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20704601) 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, 308991 + ... + 309057.

It is an arithmetic number, because the mean of its divisors is an integer number (440895).

Almost surely, 220704608 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 20704608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31744440).

20704608 is an abundant number, since it is smaller than the sum of its proper divisors (42784272).

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

20704608 is a wasteful number, since it uses less digits than its factorization.

20704608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20704608 is about 4550.2316424551. The cubic root of 20704608 is about 274.5927105794.

It can be divided in two parts, 20704 and 608, that added together give a palindrome (21312).

The spelling of 20704608 in words is "twenty million, seven hundred four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 37 48 58 67 72 74 87 96 111 116 134 144 148 174 201 222 232 261 268 288 296 333 348 402 444 464 522 536 592 603 666 696 804 888 928 1044 1072 1073 1184 1206 1332 1392 1608 1776 1943 2088 2144 2146 2412 2479 2664 2784 3216 3219 3552 3886 4176 4292 4824 4958 5328 5829 6432 6438 7437 7772 8352 8584 9648 9657 9916 10656 11658 12876 14874 15544 17168 17487 19296 19314 19832 22311 23316 25752 29748 31088 34336 34974 38628 39664 44622 46632 51504 59496 62176 69948 71891 77256 79328 89244 93264 103008 118992 139896 143782 154512 178488 186528 215673 237984 279792 287564 309024 356976 431346 559584 575128 647019 713952 862692 1150256 1294038 1725384 2300512 2588076 3450768 5176152 6901536 10352304 20704608