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5479040 = 27571223
BaseRepresentation
bin10100111001101010000000
3101022100211102
4110321222000
52400312130
6313233532
764366610
oct24715200
911270742
105479040
113102536
121a028a8
13119ab48
14a28a40
15733645
hex539a80

5479040 has 64 divisors (see below), whose sum is σ = 14981760. Its totient is φ = 1876992.

The previous prime is 5479027. The next prime is 5479063. The reversal of 5479040 is 409745.

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

It is a junction number, because it is equal to n+sod(n) for n = 5478994 and 5479012.

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, 3869 + ... + 5091.

It is an arithmetic number, because the mean of its divisors is an integer number (234090).

Almost surely, 25479040 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 5479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7490880).

5479040 is an abundant number, since it is smaller than the sum of its proper divisors (9502720).

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

5479040 is a wasteful number, since it uses less digits than its factorization.

5479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 5479040 is about 2340.7349273252. The cubic root of 5479040 is about 176.2929007115.

The spelling of 5479040 in words is "five million, four hundred seventy-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 1223 2240 2446 4480 4892 6115 8561 9784 12230 17122 19568 24460 34244 39136 42805 48920 68488 78272 85610 97840 136976 156544 171220 195680 273952 342440 391360 547904 684880 782720 1095808 1369760 2739520 5479040