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5758920 = 2332517941
BaseRepresentation
bin10101111101111111001000
3101211120202100
4111331333020
52433241140
6323233400
766643566
oct25757710
911746670
105758920
113283842
121b18860
13126835b
14a9ca36
1578b530
hex57dfc8

5758920 has 96 divisors (see below), whose sum is σ = 19838520. Its totient is φ = 1443840.

The previous prime is 5758913. The next prime is 5758933. The reversal of 5758920 is 298575.

5758920 is a `hidden beast` number, since 57 + 589 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5391684 + 367236 = 2322^2 + 606^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5650 + ... + 6590.

Almost surely, 25758920 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 5758920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9919260).

5758920 is an abundant number, since it is smaller than the sum of its proper divisors (14079600).

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

5758920 is a wasteful number, since it uses less digits than its factorization.

5758920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5758920 is about 2399.7749894521. The cubic root of 5758920 is about 179.2449856501.

The spelling of 5758920 in words is "five million, seven hundred fifty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 941 1020 1224 1530 1882 2040 2823 3060 3764 4705 5646 6120 7528 8469 9410 11292 14115 15997 16938 18820 22584 28230 31994 33876 37640 42345 47991 56460 63988 67752 79985 84690 95982 112920 127976 143973 159970 169380 191964 239955 287946 319940 338760 383928 479910 575892 639880 719865 959820 1151784 1439730 1919640 2879460 5758920