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5200230120 = 2335293740387
BaseRepresentation
bin1001101011111010…
…10011011011101000
3111102102011001122120
410311331103123220
541122224330440
62220002551240
7242603140521
oct46575233350
914372131576
105200230120
112229437948
121011668520
1364b496857
14374903848
15206808dd0
hex135f536e8

5200230120 has 128 divisors (see below), whose sum is σ = 16575235200. Its totient is φ = 1302690816.

The previous prime is 5200230109. The next prime is 5200230151. The reversal of 5200230120 is 210320025.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5200230120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108567 + ... + 148953.

It is an arithmetic number, because the mean of its divisors is an integer number (129494025).

Almost surely, 25200230120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5200230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8287617600).

5200230120 is an abundant number, since it is smaller than the sum of its proper divisors (11375005080).

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

5200230120 is a wasteful number, since it uses less digits than its factorization.

5200230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40467 (or 40463 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5200230120 is about 72112.6210867418. The cubic root of 5200230120 is about 1732.5037665796.

Adding to 5200230120 its reverse (210320025), we get a palindrome (5410550145).

The spelling of 5200230120 in words is "five billion, two hundred million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 37 40 58 60 74 87 111 116 120 145 148 174 185 222 232 290 296 348 370 435 444 555 580 696 740 870 888 1073 1110 1160 1480 1740 2146 2220 3219 3480 4292 4440 5365 6438 8584 10730 12876 16095 21460 25752 32190 40387 42920 64380 80774 121161 128760 161548 201935 242322 323096 403870 484644 605805 807740 969288 1171223 1211610 1494319 1615480 2342446 2423220 2988638 3513669 4482957 4684892 4846440 5856115 5977276 7027338 7471595 8965914 9369784 11712230 11954552 14054676 14943190 17568345 17931828 22414785 23424460 28109352 29886380 35136690 35863656 43335251 44829570 46848920 59772760 70273380 86670502 89659140 130005753 140546760 173341004 179318280 216676255 260011506 346682008 433352510 520023012 650028765 866705020 1040046024 1300057530 1733410040 2600115060 5200230120