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5200738320 = 243567503643
BaseRepresentation
bin1001101011111110…
…01111100000010000
3111102110002212202210
410311333033200100
541122342111240
62220021512120
7242610355251
oct46577174020
914373085683
105200738320
112229754748
121011872640
1364b613c6b
143749d6b28
152068a9780
hex135fcf810

5200738320 has 160 divisors (see below), whose sum is σ = 16420948992. Its totient is φ = 1361327616.

The previous prime is 5200738297. The next prime is 5200738327. The reversal of 5200738320 is 238370025.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5200738327) 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 31 ways as a sum of consecutive naturals, for example, 8087919 + ... + 8088561.

Almost surely, 25200738320 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 5200738320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8210474496).

5200738320 is an abundant number, since it is smaller than the sum of its proper divisors (11220210672).

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

5200738320 is a wasteful number, since it uses less digits than its factorization.

5200738320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 5200738320 is about 72116.1446556872. The cubic root of 5200738320 is about 1732.5602018856.

The spelling of 5200738320 in words is "five billion, two hundred million, seven hundred thirty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 503 536 643 670 804 1005 1006 1072 1286 1340 1509 1608 1929 2010 2012 2515 2572 2680 3018 3215 3216 3858 4020 4024 5030 5144 5360 6036 6430 7545 7716 8040 8048 9645 10060 10288 12072 12860 15090 15432 16080 19290 20120 24144 25720 30180 30864 33701 38580 40240 43081 51440 60360 67402 77160 86162 101103 120720 129243 134804 154320 168505 172324 202206 215405 258486 269608 323429 337010 344648 404412 430810 505515 516972 539216 646215 646858 674020 689296 808824 861620 970287 1011030 1033944 1292430 1293716 1348040 1617145 1617648 1723240 1940574 2022060 2067888 2584860 2587432 2696080 3234290 3446480 3881148 4044120 4851435 5169720 5174864 6468580 7762296 8088240 9702870 10339440 12937160 15524592 19405740 21669743 25874320 38811480 43339486 65009229 77622960 86678972 108348715 130018458 173357944 216697430 260036916 325046145 346715888 433394860 520073832 650092290 866789720 1040147664 1300184580 1733579440 2600369160 5200738320