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5754060 = 22325132459
BaseRepresentation
bin10101111100110011001100
3101211100002100
4111330303030
52433112220
6323155100
766623454
oct25746314
911740070
105754060
113280124
121b15a90
131266090
14a9ad64
15789d90
hex57cccc

5754060 has 72 divisors (see below), whose sum is σ = 18804240. Its totient is φ = 1415808.

The previous prime is 5754059. The next prime is 5754061. The reversal of 5754060 is 604575.

It is an interprime number because it is at equal distance from previous prime (5754059) and next prime (5754061).

It is an Ulam number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (5754061) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1111 + ... + 3569.

It is an arithmetic number, because the mean of its divisors is an integer number (261170).

Almost surely, 25754060 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 5754060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9402120).

5754060 is an abundant number, since it is smaller than the sum of its proper divisors (13050180).

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

5754060 is a wasteful number, since it uses less digits than its factorization.

5754060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5754060 is about 2398.7621807924. The cubic root of 5754060 is about 179.1945493532.

It can be divided in two parts, 57540 and 60, that added together give a square (57600 = 2402).

The spelling of 5754060 in words is "five million, seven hundred fifty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 2459 4918 7377 9836 12295 14754 22131 24590 29508 31967 36885 44262 49180 63934 73770 88524 95901 110655 127868 147540 159835 191802 221310 287703 319670 383604 442620 479505 575406 639340 959010 1150812 1438515 1918020 2877030 5754060