Search a number
-
+
69240000 = 26354577
BaseRepresentation
bin1000010000010…
…00010011000000
311211021202102110
410020020103000
5120211140000
610512015320
71500346614
oct410102300
9154252373
1069240000
11360a2045
121b231540
131146391b
1492a5344
15612a850
hex42084c0

69240000 has 140 divisors (see below), whose sum is σ = 229320344. Its totient is φ = 18432000.

The previous prime is 69239969. The next prime is 69240007. The reversal of 69240000 is 4296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69240007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119712 + ... + 120288.

Almost surely, 269240000 is an apocalyptic number.

69240000 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 69240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114660172).

69240000 is an abundant number, since it is smaller than the sum of its proper divisors (160080344).

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

69240000 is an equidigital number, since it uses as much as digits as its factorization.

69240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 69240000 is about 8321.0576250859. The cubic root of 69240000 is about 410.6315865539.

Adding to 69240000 its reverse (4296), we get a palindrome (69244296).

The spelling of 69240000 in words is "sixty-nine million, two hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 577 600 625 750 800 960 1000 1154 1200 1250 1500 1600 1731 1875 2000 2308 2400 2500 2885 3000 3462 3750 4000 4616 4800 5000 5770 6000 6924 7500 8000 8655 9232 10000 11540 12000 13848 14425 15000 17310 18464 20000 23080 24000 27696 28850 30000 34620 36928 40000 43275 46160 55392 57700 60000 69240 72125 86550 92320 110784 115400 120000 138480 144250 173100 184640 216375 230800 276960 288500 346200 360625 432750 461600 553920 577000 692400 721250 865500 923200 1081875 1154000 1384800 1442500 1731000 2163750 2308000 2769600 2885000 3462000 4327500 4616000 5770000 6924000 8655000 11540000 13848000 17310000 23080000 34620000 69240000