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20675424 = 2537112797
BaseRepresentation
bin100111011011…
…1101101100000
31102220102100110
41032313231200
520243103144
62015051320
7340511130
oct116675540
942812313
1020675424
1110741830
126b10b40
13438b9a3
142a62ac0
151c360b9
hex13b7b60

20675424 has 96 divisors (see below), whose sum is σ = 67689216. Its totient is φ = 5368320.

The previous prime is 20675423. The next prime is 20675437. The reversal of 20675424 is 42457602.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 20675391 and 20675400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20675423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5994 + ... + 8790.

It is an arithmetic number, because the mean of its divisors is an integer number (705096).

Almost surely, 220675424 is an apocalyptic number.

20675424 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 20675424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33844608).

20675424 is an abundant number, since it is smaller than the sum of its proper divisors (47013792).

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

20675424 is a wasteful number, since it uses less digits than its factorization.

20675424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 20675424 is about 4547.0236419003. The cubic root of 20675424 is about 274.4636333254.

The spelling of 20675424 in words is "twenty million, six hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 2797 3696 5594 7392 8391 11188 16782 19579 22376 30767 33564 39158 44752 58737 61534 67128 78316 89504 92301 117474 123068 134256 156632 184602 215369 234948 246136 268512 313264 369204 430738 469896 492272 626528 646107 738408 861476 939792 984544 1292214 1476816 1722952 1879584 2584428 2953632 3445904 5168856 6891808 10337712 20675424