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61522140 = 22354189281
BaseRepresentation
bin1110101010110…
…0000011011100
311021202122111210
43222230003130
5111222202030
610034344420
71344633561
oct352540334
9137678453
1061522140
1131800549
121872b110
13c990a44
148256868
155603bb0
hex3aac0dc

61522140 has 96 divisors (see below), whose sum is σ = 179081280. Its totient is φ = 15769600.

The previous prime is 61522129. The next prime is 61522141. The reversal of 61522140 is 4122516.

61522140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61522141) by changing a digit.

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, 218800 + ... + 219080.

It is an arithmetic number, because the mean of its divisors is an integer number (1865430).

Almost surely, 261522140 is an apocalyptic number.

61522140 is a gapful number since it is divisible by the number (60) 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 61522140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89540640).

61522140 is an abundant number, since it is smaller than the sum of its proper divisors (117559140).

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

61522140 is a wasteful number, since it uses less digits than its factorization.

61522140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 61522140 is about 7843.6050385011. The cubic root of 61522140 is about 394.7696996462.

Adding to 61522140 its reverse (4122516), we get a palindrome (65644656).

It can be divided in two parts, 615 and 22140, that multiplied together give a square (13616100 = 36902).

The spelling of 61522140 in words is "sixty-one million, five hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 89 123 164 178 205 246 267 281 356 410 445 492 534 562 615 820 843 890 1068 1124 1230 1335 1405 1686 1780 2460 2670 2810 3372 3649 4215 5340 5620 7298 8430 10947 11521 14596 16860 18245 21894 23042 25009 34563 36490 43788 46084 50018 54735 57605 69126 72980 75027 100036 109470 115210 125045 138252 150054 172815 218940 230420 250090 300108 345630 375135 500180 691260 750270 1025369 1500540 2050738 3076107 4101476 5126845 6152214 10253690 12304428 15380535 20507380 30761070 61522140