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20796440 = 2357172257
BaseRepresentation
bin100111101010…
…1010000011000
31110010120100112
41033111100120
520310441230
62021423452
7341524010
oct117252030
943116315
1020796440
1110814745
126b6ab88
134401ab2
142a94c40
151c5bd95
hex13d5418

20796440 has 96 divisors (see below), whose sum is σ = 57028320. Its totient is φ = 6684672.

The previous prime is 20796401. The next prime is 20796449. The reversal of 20796440 is 4469702.

It is a junction number, because it is equal to n+sod(n) for n = 20796397 and 20796406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20796449) 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 23 ways as a sum of consecutive naturals, for example, 80792 + ... + 81048.

It is an arithmetic number, because the mean of its divisors is an integer number (594045).

Almost surely, 220796440 is an apocalyptic number.

20796440 is a gapful number since it is divisible by the number (20) 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 20796440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28514160).

20796440 is an abundant number, since it is smaller than the sum of its proper divisors (36231880).

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

20796440 is a wasteful number, since it uses less digits than its factorization.

20796440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 20796440 is about 4560.3113928766. The cubic root of 20796440 is about 274.9980826313.

The spelling of 20796440 in words is "twenty million, seven hundred ninety-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 257 280 289 340 476 514 578 595 680 952 1028 1156 1190 1285 1445 1799 2023 2056 2312 2380 2570 2890 3598 4046 4369 4760 5140 5780 7196 8092 8738 8995 10115 10280 11560 14392 16184 17476 17990 20230 21845 30583 34952 35980 40460 43690 61166 71960 74273 80920 87380 122332 148546 152915 174760 244664 297092 305830 371365 519911 594184 611660 742730 1039822 1223320 1485460 2079644 2599555 2970920 4159288 5199110 10398220 20796440