Search a number
-
+
5370021600 = 253522397283
BaseRepresentation
bin1010000000001010…
…00000011011100000
3111212020122100202220
411000011000123200
541444211142400
62244510111040
7250034300436
oct50005003340
914766570686
105370021600
112306267789
12105a4ab480
13677704c98
1438d2a0d56
152166977a0
hex1401406e0

5370021600 has 144 divisors (see below), whose sum is σ = 18239582592. Its totient is φ = 1369730560.

The previous prime is 5370021541. The next prime is 5370021647. The reversal of 5370021600 is 61200735.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6559 + ... + 103841.

It is an arithmetic number, because the mean of its divisors is an integer number (126663768).

Almost surely, 25370021600 is an apocalyptic number.

5370021600 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 5370021600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9119791296).

5370021600 is an abundant number, since it is smaller than the sum of its proper divisors (12869560992).

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

5370021600 is a wasteful number, since it uses less digits than its factorization.

5370021600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97329 (or 97316 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 5370021600 is about 73280.4312214386. The cubic root of 5370021600 is about 1751.1580471089.

The spelling of 5370021600 in words is "five billion, three hundred seventy million, twenty-one thousand, six 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 97283 194566 291849 389132 486415 583698 778264 972830 1167396 1459245 1556528 1945660 2237509 2334792 2432075 2918490 3113056 3891320 4475018 4669584 4864150 5836980 6712527 7296225 7782640 8950036 9339168 9728300 11187545 11673960 13425054 14592450 15565280 17900072 19456600 22375090 23347920 26850108 29184900 33562635 35800144 38913200 44750180 46695840 53700216 55937725 58369800 67125270 71600288 77826400 89500360 107400432 111875450 116739600 134250540 167813175 179000720 214800864 223750900 233479200 268501080 335626350 358001440 447501800 537002160 671252700 895003600 1074004320 1342505400 1790007200 2685010800 5370021600