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53140200 = 23352312857
BaseRepresentation
bin1100101010110…
…1101011101000
310200222210122120
43022231223220
5102100441300
65134551240
71213453461
oct312555350
9120883576
1053140200
1127aa6023
1215968520
13b017809
1470b3d68
1549ea3a0
hex32adae8

53140200 has 96 divisors (see below), whose sum is σ = 170108160. Its totient is φ = 13708800.

The previous prime is 53140193. The next prime is 53140253. The reversal of 53140200 is 204135.

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

It is a self number, because there is not a number n which added to its sum of digits gives 53140200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17172 + ... + 20028.

It is an arithmetic number, because the mean of its divisors is an integer number (1771960).

Almost surely, 253140200 is an apocalyptic number.

53140200 is a gapful number since it is divisible by the number (50) 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 53140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85054080).

53140200 is an abundant number, since it is smaller than the sum of its proper divisors (116967960).

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

53140200 is a wasteful number, since it uses less digits than its factorization.

53140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907 (or 2898 counting only the distinct ones).

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

The square root of 53140200 is about 7289.7325053804. The cubic root of 53140200 is about 375.9594984291.

Adding to 53140200 its reverse (204135), we get a palindrome (53344335).

The spelling of 53140200 in words is "fifty-three million, one hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 2857 3100 3720 4650 5714 6200 8571 9300 11428 14285 17142 18600 22856 28570 34284 42855 57140 68568 71425 85710 88567 114280 142850 171420 177134 214275 265701 285700 342840 354268 428550 442835 531402 571400 708536 857100 885670 1062804 1328505 1714200 1771340 2125608 2214175 2657010 3542680 4428350 5314020 6642525 8856700 10628040 13285050 17713400 26570100 53140200