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5742640 = 245233121
BaseRepresentation
bin10101111010000000110000
3101210202102101
4111322000300
52432231030
6323030144
766545251
oct25720060
911722371
105742640
113272592
121b0b354
131260b17
14a96b28
157867ca
hex57a030

5742640 has 40 divisors (see below), whose sum is σ = 13936608. Its totient is φ = 2196480.

The previous prime is 5742631. The next prime is 5742641. The reversal of 5742640 is 462475.

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 = 5742599 and 5742608.

It is not an unprimeable number, because it can be changed into a prime (5742641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280 + ... + 3400.

Almost surely, 25742640 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 5742640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6968304).

5742640 is an abundant number, since it is smaller than the sum of its proper divisors (8193968).

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

5742640 is a wasteful number, since it uses less digits than its factorization.

5742640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 5742640 is about 2396.3806041612. The cubic root of 5742640 is about 179.0759225593.

The spelling of 5742640 in words is "five million, seven hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 3121 6242 12484 15605 24968 31210 49936 62420 71783 124840 143566 249680 287132 358915 574264 717830 1148528 1435660 2871320 5742640