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5388568320 = 28356192267
BaseRepresentation
bin1010000010010111…
…10000011100000000
3111220112112122002110
411001023300130000
542013433141240
62250411415320
7250351034502
oct50113603400
914815478073
105388568320
112315785153
121064754540
1367b4c9a85
1439192bd72
1521810cc80
hex1412f0700

5388568320 has 144 divisors (see below), whose sum is σ = 17245146240. Its totient is φ = 1433997312.

The previous prime is 5388568309. The next prime is 5388568337. The reversal of 5388568320 is 238658835.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5388568320.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2375827 + ... + 2378093.

It is an arithmetic number, because the mean of its divisors is an integer number (119757960).

Almost surely, 25388568320 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 5388568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8622573120).

5388568320 is an abundant number, since it is smaller than the sum of its proper divisors (11856577920).

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

5388568320 is a wasteful number, since it uses less digits than its factorization.

5388568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The square root of 5388568320 is about 73406.8683435004. The cubic root of 5388568320 is about 1753.1717521665.

The spelling of 5388568320 in words is "five billion, three hundred eighty-eight million, five hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 619 640 768 960 1238 1280 1857 1920 2267 2476 3095 3714 3840 4534 4952 6190 6801 7428 9068 9285 9904 11335 12380 13602 14856 18136 18570 19808 22670 24760 27204 29712 34005 36272 37140 39616 45340 49520 54408 59424 68010 72544 74280 79232 90680 99040 108816 118848 136020 145088 148560 158464 181360 198080 217632 237696 272040 290176 297120 362720 396160 435264 475392 544080 580352 594240 725440 792320 870528 1088160 1188480 1403273 1450880 1741056 2176320 2376960 2806546 2901760 4209819 4352640 5613092 7016365 8419638 8705280 11226184 14032730 16839276 21049095 22452368 28065460 33678552 42098190 44904736 56130920 67357104 84196380 89809472 112261840 134714208 168392760 179618944 224523680 269428416 336785520 359237888 449047360 538856832 673571040 898094720 1077713664 1347142080 1796189440 2694284160 5388568320