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55363140 = 22325726277
BaseRepresentation
bin1101001100110…
…0011001000100
310212011201221200
43103030121010
5103133110030
65254342500
71241402400
oct323143104
9125151850
1055363140
1129284168
121665aa30
13b615571
1474d2100
154cd8d60
hex34cc644

55363140 has 108 divisors (see below), whose sum is σ = 195383916. Its totient is φ = 12652416.

The previous prime is 55363123. The next prime is 55363141. The reversal of 55363140 is 4136355.

It can be written as a sum of positive squares in 2 ways, for example, as 40755456 + 14607684 = 6384^2 + 3822^2 .

It is not an unprimeable number, because it can be changed into a prime (55363141) 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 35 ways as a sum of consecutive naturals, for example, 5682 + ... + 11958.

Almost surely, 255363140 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 55363140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97691958).

55363140 is an abundant number, since it is smaller than the sum of its proper divisors (140020776).

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

55363140 is a wasteful number, since it uses less digits than its factorization.

55363140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6306 (or 6294 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 55363140 is about 7440.6411014105. The cubic root of 55363140 is about 381.1303829704.

Adding to 55363140 its reverse (4136355), we get a palindrome (59499495).

The spelling of 55363140 in words is "fifty-five million, three hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 6277 8820 12554 18831 25108 31385 37662 43939 56493 62770 75324 87878 94155 112986 125540 131817 175756 188310 219695 225972 263634 282465 307573 376620 395451 439390 527268 564930 615146 659085 790902 878780 922719 1129860 1230292 1318170 1537865 1581804 1845438 1977255 2636340 2768157 3075730 3690876 3954510 4613595 5536314 6151460 7909020 9227190 11072628 13840785 18454380 27681570 55363140