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20540310 = 2357289157
BaseRepresentation
bin100111001011…
…0101110010110
31102122120000020
41032112232112
520224242220
62012130010
7336406200
oct116265626
942576006
1020540310
111065a26a
126a66906
13434233b
142a29770
151c0b040
hex1396b96

20540310 has 96 divisors (see below), whose sum is σ = 58358880. Its totient is φ = 4612608.

The previous prime is 20540293. The next prime is 20540329. The reversal of 20540310 is 1304502.

It is a super-2 number, since 2×205403102 = 843808669792200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20540310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130752 + ... + 130908.

It is an arithmetic number, because the mean of its divisors is an integer number (607905).

Almost surely, 220540310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20540310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29179440).

20540310 is an abundant number, since it is smaller than the sum of its proper divisors (37818570).

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

20540310 is a wasteful number, since it uses less digits than its factorization.

20540310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 20540310 is about 4532.1418777439. The cubic root of 20540310 is about 273.8644524649.

Adding to 20540310 its reverse (1304502), we get a palindrome (21844812).

The spelling of 20540310 in words is "twenty million, five hundred forty thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 89 98 105 147 157 178 210 245 267 294 314 445 471 490 534 623 735 785 890 942 1099 1246 1335 1470 1570 1869 2198 2355 2670 3115 3297 3738 4361 4710 5495 6230 6594 7693 8722 9345 10990 13083 13973 15386 16485 18690 21805 23079 26166 27946 32970 38465 41919 43610 46158 65415 69865 76930 83838 97811 115395 130830 139730 195622 209595 230790 293433 419190 489055 586866 684677 978110 1369354 1467165 2054031 2934330 3423385 4108062 6846770 10270155 20540310