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5735440 = 24571693
BaseRepresentation
bin10101111000010000010000
3101210101112201
4111320100100
52432013230
6322532544
766515254
oct25702020
911711481
105735440
113268137
121b07154
13125a769
14a94264
157845ca
hex578410

5735440 has 20 divisors (see below), whose sum is σ = 13335084. Its totient is φ = 2294144.

The previous prime is 5735423. The next prime is 5735461. The reversal of 5735440 is 445375.

It can be written as a sum of positive squares in 2 ways, for example, as 1557504 + 4177936 = 1248^2 + 2044^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 5735399 and 5735408.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35767 + ... + 35926.

Almost surely, 25735440 is an apocalyptic number.

It is an amenable number.

5735440 is an abundant number, since it is smaller than the sum of its proper divisors (7599644).

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

5735440 is a wasteful number, since it uses less digits than its factorization.

5735440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71706 (or 71700 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 5735440 is about 2394.8778674496. The cubic root of 5735440 is about 179.0010507309.

The spelling of 5735440 in words is "five million, seven hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 71693 143386 286772 358465 573544 716930 1147088 1433860 2867720 5735440