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5385480160 = 255615031097
BaseRepresentation
bin1010000001111111…
…11110011111100000
3111220022201201221011
411000333332133200
542012140331120
62250221310304
7250312553224
oct50077763740
914808651834
105385480160
112313a65a55
121063705394
1367a988268
14391366784
15217becc5a
hex140ffe7e0

5385480160 has 96 divisors (see below), whose sum is σ = 12969294912. Its totient is φ = 2112737280.

The previous prime is 5385480151. The next prime is 5385480161. The reversal of 5385480160 is 610845835.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5385480161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4908732 + ... + 4909828.

It is an arithmetic number, because the mean of its divisors is an integer number (135096822).

Almost surely, 25385480160 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 5385480160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484647456).

5385480160 is an abundant number, since it is smaller than the sum of its proper divisors (7583814752).

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

5385480160 is a wasteful number, since it uses less digits than its factorization.

5385480160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 5385480160 is about 73385.8307849683. The cubic root of 5385480160 is about 1752.8367770151.

The spelling of 5385480160 in words is "five billion, three hundred eighty-five million, four hundred eighty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 503 610 976 1006 1097 1220 1952 2012 2194 2440 2515 4024 4388 4880 5030 5485 8048 8776 9760 10060 10970 16096 17552 20120 21940 30683 35104 40240 43880 61366 66917 80480 87760 122732 133834 153415 175520 245464 267668 306830 334585 490928 535336 551791 613660 669170 981856 1070672 1103582 1227320 1338340 2141344 2207164 2454640 2676680 2758955 4414328 4909280 5353360 5517910 8828656 10706720 11035820 17657312 22071640 33659251 44143280 67318502 88286560 134637004 168296255 269274008 336592510 538548016 673185020 1077096032 1346370040 2692740080 5385480160