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45316140 = 223519127313
BaseRepresentation
bin1010110011011…
…1100000101100
310011021022001120
42230313200230
543100104030
64255140540
71060116012
oct254674054
9104238046
1045316140
1123641761
1213214750
1395084ac
1460388b2
153ea2010
hex2b3782c

45316140 has 96 divisors (see below), whose sum is σ = 135045120. Its totient is φ = 11321856.

The previous prime is 45316133. The next prime is 45316163. The reversal of 45316140 is 4161354.

45316140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45316140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144624 + ... + 144936.

It is an arithmetic number, because the mean of its divisors is an integer number (1406720).

Almost surely, 245316140 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 45316140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67522560).

45316140 is an abundant number, since it is smaller than the sum of its proper divisors (89728980).

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

45316140 is a wasteful number, since it uses less digits than its factorization.

45316140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 45316140 is about 6731.7263759009. The cubic root of 45316140 is about 356.5203328234.

Adding to 45316140 its reverse (4161354), we get a palindrome (49477494).

The spelling of 45316140 in words is "forty-five million, three hundred sixteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 127 190 228 254 285 313 380 381 508 570 626 635 762 939 1140 1252 1270 1524 1565 1878 1905 2413 2540 3130 3756 3810 4695 4826 5947 6260 7239 7620 9390 9652 11894 12065 14478 17841 18780 23788 24130 28956 29735 35682 36195 39751 48260 59470 71364 72390 79502 89205 118940 119253 144780 159004 178410 198755 238506 356820 397510 477012 596265 755269 795020 1192530 1510538 2265807 2385060 3021076 3776345 4531614 7552690 9063228 11329035 15105380 22658070 45316140