Search a number
-
+
207242000 = 24537113131
BaseRepresentation
bin11000101101001…
…00001100010000
3112102221222120122
430112210030100
5411023221000
632321525412
75064346040
oct1426441420
9472858518
10207242000
11a6a89a89
12594a3868
1333c21704
141d749720
15132da085
hexc5a4310

207242000 has 160 divisors (see below), whose sum is σ = 582177024. Its totient is φ = 69888000.

The previous prime is 207241981. The next prime is 207242017. The reversal of 207242000 is 242702.

It is a self number, because there is not a number n which added to its sum of digits gives 207242000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1581935 + ... + 1582065.

Almost surely, 2207242000 is an apocalyptic number.

207242000 is a gapful number since it is divisible by the number (20) 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 207242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291088512).

207242000 is an abundant number, since it is smaller than the sum of its proper divisors (374935024).

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

207242000 is a wasteful number, since it uses less digits than its factorization.

207242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 207242000 is about 14395.9021947219. The cubic root of 207242000 is about 591.7786029923.

Adding to 207242000 its reverse (242702), we get a palindrome (207484702).

The spelling of 207242000 in words is "two hundred seven million, two hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 113 125 131 140 175 200 226 250 262 280 350 400 452 500 524 560 565 655 700 791 875 904 917 1000 1048 1130 1310 1400 1582 1750 1808 1834 2000 2096 2260 2620 2800 2825 3164 3275 3500 3668 3955 4520 4585 5240 5650 6328 6550 7000 7336 7910 9040 9170 10480 11300 12656 13100 14000 14125 14672 14803 15820 16375 18340 19775 22600 22925 26200 28250 29606 31640 32750 36680 39550 45200 45850 52400 56500 59212 63280 65500 73360 74015 79100 91700 98875 103621 113000 114625 118424 131000 148030 158200 183400 197750 207242 226000 229250 236848 262000 296060 316400 366800 370075 395500 414484 458500 518105 592120 740150 791000 828968 917000 1036210 1184240 1480300 1582000 1657936 1834000 1850375 2072420 2590525 2960600 3700750 4144840 5181050 5921200 7401500 8289680 10362100 12952625 14803000 20724200 25905250 29606000 41448400 51810500 103621000 207242000