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5745040 = 245710259
BaseRepresentation
bin10101111010100110010000
3101210212201021
4111322212100
52432320130
6323045224
766555250
oct25724620
911725637
105745040
113274374
121b10814
131261c42
14a97960
1578737a
hex57a990

5745040 has 40 divisors (see below), whose sum is σ = 15266880. Its totient is φ = 1969536.

The previous prime is 5745023. The next prime is 5745053. The reversal of 5745040 is 405475.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 5744996 and 5745014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4570 + ... + 5689.

It is an arithmetic number, because the mean of its divisors is an integer number (381672).

Almost surely, 25745040 is an apocalyptic number.

It is an amenable number.

5745040 is an abundant number, since it is smaller than the sum of its proper divisors (9521840).

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

5745040 is a wasteful number, since it uses less digits than its factorization.

5745040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10279 (or 10273 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 5745040 is about 2396.8813070321. The cubic root of 5745040 is about 179.1008659277.

The spelling of 5745040 in words is "five million, seven hundred forty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 10259 20518 41036 51295 71813 82072 102590 143626 164144 205180 287252 359065 410360 574504 718130 820720 1149008 1436260 2872520 5745040