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5768440 = 235172499
BaseRepresentation
bin10110000000010011111000
3101212001210221
4112000103320
52434042230
6323345424
7100013416
oct26002370
911761727
105768440
11328aa07
121b22274
13126c7a2
14aa22b6
1578e27a
hex5804f8

5768440 has 48 divisors (see below), whose sum is σ = 13815000. Its totient is φ = 2167296.

The previous prime is 5768401. The next prime is 5768443. The reversal of 5768440 is 448675.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 5768396 and 5768405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5768443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11311 + ... + 11809.

Almost surely, 25768440 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 5768440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6907500).

5768440 is an abundant number, since it is smaller than the sum of its proper divisors (8046560).

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

5768440 is a wasteful number, since it uses less digits than its factorization.

5768440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 5768440 is about 2401.7576896931. The cubic root of 5768440 is about 179.3437005042.

The spelling of 5768440 in words is "five million, seven hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 499 578 680 998 1156 1445 1996 2312 2495 2890 3992 4990 5780 8483 9980 11560 16966 19960 33932 42415 67864 84830 144211 169660 288422 339320 576844 721055 1153688 1442110 2884220 5768440