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5294640 = 2435131697
BaseRepresentation
bin10100001100101000110000
3100221222212210
4110030220300
52323412030
6305252120
763001161
oct24145060
910858783
105294640
112a96a3a
121934040
131134c30
149bb768
156e8bb0
hex50ca30

5294640 has 80 divisors (see below), whose sum is σ = 17686368. Its totient is φ = 1302528.

The previous prime is 5294621. The next prime is 5294651. The reversal of 5294640 is 464925.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5294598 and 5294607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2272 + ... + 3968.

Almost surely, 25294640 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 5294640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8843184).

5294640 is an abundant number, since it is smaller than the sum of its proper divisors (12391728).

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

5294640 is a wasteful number, since it uses less digits than its factorization.

5294640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5294640 is about 2301.0084745607. The cubic root of 5294640 is about 174.2925452589.

The spelling of 5294640 in words is "five million, two hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 1697 3120 3394 5091 6788 8485 10182 13576 16970 20364 22061 25455 27152 33940 40728 44122 50910 66183 67880 81456 88244 101820 110305 132366 135760 176488 203640 220610 264732 330915 352976 407280 441220 529464 661830 882440 1058928 1323660 1764880 2647320 5294640