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5373200 = 2452719101
BaseRepresentation
bin10100011111110100010000
3101002222122102
4110133310100
52333420300
6311055532
763446210
oct24376420
911088572
105373200
11303aa68
1219715a8
131161911
149dc240
157120d5
hex51fd10

5373200 has 120 divisors (see below), whose sum is σ = 15683520. Its totient is φ = 1728000.

The previous prime is 5373169. The next prime is 5373211. The reversal of 5373200 is 23735.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53150 + ... + 53250.

It is an arithmetic number, because the mean of its divisors is an integer number (130696).

Almost surely, 25373200 is an apocalyptic number.

5373200 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 5373200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7841760).

5373200 is an abundant number, since it is smaller than the sum of its proper divisors (10310320).

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

5373200 is a wasteful number, since it uses less digits than its factorization.

5373200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 5373200 is about 2318.0163933847. The cubic root of 5373200 is about 175.1503469865.

Adding to 5373200 its reverse (23735), we get a palindrome (5396935).

The spelling of 5373200 in words is "five million, three hundred seventy-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 35 38 40 50 56 70 76 80 95 100 101 112 133 140 152 175 190 200 202 266 280 304 350 380 400 404 475 505 532 560 665 700 707 760 808 950 1010 1064 1330 1400 1414 1520 1616 1900 1919 2020 2128 2525 2660 2800 2828 3325 3535 3800 3838 4040 5050 5320 5656 6650 7070 7600 7676 8080 9595 10100 10640 11312 13300 13433 14140 15352 17675 19190 20200 26600 26866 28280 30704 35350 38380 40400 47975 53200 53732 56560 67165 70700 76760 95950 107464 134330 141400 153520 191900 214928 268660 282800 335825 383800 537320 671650 767600 1074640 1343300 2686600 5373200