Search a number
-
+
5030210400 = 253522391127
BaseRepresentation
bin1001010111101001…
…01110101101100000
3110222120020011102220
410223310232231200
540300213213100
62151050511040
7235440040305
oct45364565540
913876204386
105030210400
112151471586
12b84735480
136221a8577
1435a0c70ac
151e6922aa0
hex12bd2eb60

5030210400 has 144 divisors (see below), whose sum is σ = 17085406464. Its totient is φ = 1283054080.

The previous prime is 5030210327. The next prime is 5030210407. The reversal of 5030210400 is 40120305.

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 5030210400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5030210407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9637 + ... + 100763.

It is an arithmetic number, because the mean of its divisors is an integer number (118648656).

Almost surely, 25030210400 is an apocalyptic number.

5030210400 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 5030210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8542703232).

5030210400 is an abundant number, since it is smaller than the sum of its proper divisors (12055196064).

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

5030210400 is a wasteful number, since it uses less digits than its factorization.

5030210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91173 (or 91160 counting only the distinct ones).

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

The square root of 5030210400 is about 70923.9761998719. The cubic root of 5030210400 is about 1713.4129708408.

Adding to 5030210400 its reverse (40120305), we get a palindrome (5070330705).

The spelling of 5030210400 in words is "five billion, thirty million, two hundred ten thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 69 75 80 92 96 100 115 120 138 150 160 184 200 230 240 276 300 345 368 400 460 480 552 575 600 690 736 800 920 1104 1150 1200 1380 1725 1840 2208 2300 2400 2760 3450 3680 4600 5520 6900 9200 11040 13800 18400 27600 55200 91127 182254 273381 364508 455635 546762 729016 911270 1093524 1366905 1458032 1822540 2095921 2187048 2278175 2733810 2916064 3645080 4191842 4374096 4556350 5467620 6287763 6834525 7290160 8383684 8748192 9112700 10479605 10935240 12575526 13669050 14580320 16767368 18225400 20959210 21870480 25151052 27338100 31438815 33534736 36450800 41918420 43740960 50302104 52398025 54676200 62877630 67069472 72901600 83836840 100604208 104796050 109352400 125755260 157194075 167673680 201208416 209592100 218704800 251510520 314388150 335347360 419184200 503021040 628776300 838368400 1006042080 1257552600 1676736800 2515105200 5030210400