Search a number
-
+
53960000 = 26541971
BaseRepresentation
bin1100110111010…
…1110101000000
310202112110012112
43031311311000
5102303210000
65204314452
71223436533
oct315656500
9122473175
1053960000
1128505a46
12160a2a28
13b2439c3
147248a1a
154b0d235
hex3375d40

53960000 has 140 divisors (see below), whose sum is σ = 142829280. Its totient is φ = 20160000.

The previous prime is 53959999. The next prime is 53960003. The reversal of 53960000 is 6935.

53960000 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 (53960003) 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 19 ways as a sum of consecutive naturals, for example, 759965 + ... + 760035.

Almost surely, 253960000 is an apocalyptic number.

53960000 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 53960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71414640).

53960000 is an abundant number, since it is smaller than the sum of its proper divisors (88869280).

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

53960000 is an equidigital number, since it uses as much as digits as its factorization.

53960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 53960000 is about 7345.7470688828. The cubic root of 53960000 is about 377.8829644300.

Adding to 53960000 its reverse (6935), we get a palindrome (53966935).

The spelling of 53960000 in words is "fifty-three million, nine hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 71 76 80 95 100 125 142 152 160 190 200 250 284 304 320 355 380 400 475 500 568 608 625 710 760 800 950 1000 1136 1216 1250 1349 1420 1520 1600 1775 1900 2000 2272 2375 2500 2698 2840 3040 3550 3800 4000 4544 4750 5000 5396 5680 6080 6745 7100 7600 8000 8875 9500 10000 10792 11360 11875 13490 14200 15200 17750 19000 20000 21584 22720 23750 26980 28400 30400 33725 35500 38000 40000 43168 44375 47500 53960 56800 67450 71000 76000 86336 88750 95000 107920 113600 134900 142000 152000 168625 177500 190000 215840 269800 284000 337250 355000 380000 431680 539600 568000 674500 710000 760000 843125 1079200 1349000 1420000 1686250 2158400 2698000 2840000 3372500 5396000 6745000 10792000 13490000 26980000 53960000