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5413760 = 27511769
BaseRepresentation
bin10100101001101110000000
3101012001021122
4110221232000
52341220020
6312011412
764005362
oct24515600
911161248
105413760
113068490
121990b68
131177211
14a0cd32
1571e125
hex529b80

5413760 has 64 divisors (see below), whose sum is σ = 14137200. Its totient is φ = 1966080.

The previous prime is 5413741. The next prime is 5413777. The reversal of 5413760 is 673145.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6656 + ... + 7424.

Almost surely, 25413760 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 5413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7068600).

5413760 is an abundant number, since it is smaller than the sum of its proper divisors (8723440).

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

5413760 is a wasteful number, since it uses less digits than its factorization.

5413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 5413760 is about 2326.7488046628. The cubic root of 5413760 is about 175.5899545072.

The spelling of 5413760 in words is "five million, four hundred thirteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 769 880 1408 1538 1760 3076 3520 3845 6152 7040 7690 8459 12304 15380 16918 24608 30760 33836 42295 49216 61520 67672 84590 98432 123040 135344 169180 246080 270688 338360 492160 541376 676720 1082752 1353440 2706880 5413760