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5484160 = 275111941
BaseRepresentation
bin10100111010111010000000
3101022121212001
4110322322000
52400443120
6313313344
764420543
oct24727200
911277761
105484160
113106370
121a05854
1311a0286
14a2a85a
15734e0a
hex53ae80

5484160 has 128 divisors (see below), whose sum is σ = 15422400. Its totient is φ = 1843200.

The previous prime is 5484139. The next prime is 5484163. The reversal of 5484160 is 614845.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5484163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133740 + ... + 133780.

Almost surely, 25484160 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 5484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711200).

5484160 is an abundant number, since it is smaller than the sum of its proper divisors (9938240).

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

5484160 is a wasteful number, since it uses less digits than its factorization.

5484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 5484160 is about 2341.8283455454. The cubic root of 5484160 is about 176.3477971070.

The spelling of 5484160 in words is "five million, four hundred eighty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 41 44 55 64 76 80 82 88 95 110 128 152 160 164 176 190 205 209 220 304 320 328 352 380 410 418 440 451 608 640 656 704 760 779 820 836 880 902 1045 1216 1312 1408 1520 1558 1640 1672 1760 1804 2090 2255 2432 2624 3040 3116 3280 3344 3520 3608 3895 4180 4510 5248 6080 6232 6560 6688 7040 7216 7790 8360 8569 9020 12160 12464 13120 13376 14432 15580 16720 17138 18040 24928 26240 26752 28864 31160 33440 34276 36080 42845 49856 57728 62320 66880 68552 72160 85690 99712 124640 133760 137104 144320 171380 249280 274208 288640 342760 498560 548416 685520 1096832 1371040 2742080 5484160