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5387185920 = 28356720939
BaseRepresentation
bin1010000010001100…
…11110111100000000
3111220102221101210110
411001012132330000
542013104422140
62250322031320
7250333216254
oct50106367400
914812841713
105387185920
112314a20576
1210641a8540
1367b13479c
1439168c264
15217e38380
hex14119ef00

5387185920 has 144 divisors (see below), whose sum is σ = 17462954880. Its totient is φ = 1415073792.

The previous prime is 5387185907. The next prime is 5387185943. The reversal of 5387185920 is 295817835.

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 5387185920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246811 + ... + 267749.

It is an arithmetic number, because the mean of its divisors is an integer number (121270520).

Almost surely, 25387185920 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 5387185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8731477440).

5387185920 is an abundant number, since it is smaller than the sum of its proper divisors (12075768960).

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

5387185920 is a wasteful number, since it uses less digits than its factorization.

5387185920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21030 (or 21016 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 5387185920 is about 73397.4517268822. The cubic root of 5387185920 is about 1753.0218179746.

The spelling of 5387185920 in words is "five billion, three hundred eighty-seven million, one hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 128 134 160 192 201 240 256 268 320 335 384 402 480 536 640 670 768 804 960 1005 1072 1280 1340 1608 1920 2010 2144 2680 3216 3840 4020 4288 5360 6432 8040 8576 10720 12864 16080 17152 20939 21440 25728 32160 41878 42880 51456 62817 64320 83756 85760 104695 125634 128640 167512 209390 251268 257280 314085 335024 418780 502536 628170 670048 837560 1005072 1256340 1340096 1402913 1675120 2010144 2512680 2680192 2805826 3350240 4020288 4208739 5025360 5360384 5611652 6700480 7014565 8040576 8417478 10050720 11223304 13400960 14029130 16081152 16834956 20101440 21043695 22446608 26801920 28058260 33669912 40202880 42087390 44893216 56116520 67339824 80405760 84174780 89786432 112233040 134679648 168349560 179572864 224466080 269359296 336699120 359145728 448932160 538718592 673398240 897864320 1077437184 1346796480 1795728640 2693592960 5387185920