Search a number
-
+
20724200 = 23527113131
BaseRepresentation
bin100111100001…
…1100111101000
31102222220020222
41033003213220
520301133300
62020105212
7341103260
oct117034750
942886228
1020724200
1110775442
126b35208
1343a7c53
142a767a0
151c45785
hex13c39e8

20724200 has 96 divisors (see below), whose sum is σ = 55978560. Its totient is φ = 6988800.

The previous prime is 20724191. The next prime is 20724211. The reversal of 20724200 is 242702.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 158135 + ... + 158265.

It is an arithmetic number, because the mean of its divisors is an integer number (583110).

Almost surely, 220724200 is an apocalyptic number.

20724200 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 20724200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27989280).

20724200 is an abundant number, since it is smaller than the sum of its proper divisors (35254360).

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

20724200 is a wasteful number, since it uses less digits than its factorization.

20724200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 258 counting only the distinct ones).

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

The square root of 20724200 is about 4552.3839908338. The cubic root of 20724200 is about 274.6792955620.

Adding to 20724200 its reverse (242702), we get a palindrome (20966902).

The spelling of 20724200 in words is "twenty million, seven hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 113 131 140 175 200 226 262 280 350 452 524 565 655 700 791 904 917 1048 1130 1310 1400 1582 1834 2260 2620 2825 3164 3275 3668 3955 4520 4585 5240 5650 6328 6550 7336 7910 9170 11300 13100 14803 15820 18340 19775 22600 22925 26200 29606 31640 36680 39550 45850 59212 74015 79100 91700 103621 118424 148030 158200 183400 207242 296060 370075 414484 518105 592120 740150 828968 1036210 1480300 2072420 2590525 2960600 4144840 5181050 10362100 20724200