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5755320 = 23335732
BaseRepresentation
bin10101111101000110111000
3101211101211000
4111331012320
52433132240
6323205000
766630234
oct25750670
911741730
105755320
11328106a
121b16760
13126681c
14a9b5c4
1578a430
hex57d1b8

5755320 has 96 divisors (see below), whose sum is σ = 19450800. Its totient is φ = 1513728.

The previous prime is 5755319. The next prime is 5755349. The reversal of 5755320 is 235575.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78804 + ... + 78876.

Almost surely, 25755320 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 5755320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9725400).

5755320 is an abundant number, since it is smaller than the sum of its proper divisors (13695480).

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

5755320 is a wasteful number, since it uses less digits than its factorization.

5755320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 5755320 is about 2399.0248018726. The cubic root of 5755320 is about 179.2076281564.

The spelling of 5755320 in words is "five million, seven hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 73 90 108 120 135 146 180 216 219 270 292 360 365 438 540 584 657 730 876 1080 1095 1314 1460 1752 1971 2190 2628 2920 3285 3942 4380 5256 5329 6570 7884 8760 9855 10658 13140 15768 15987 19710 21316 26280 26645 31974 39420 42632 47961 53290 63948 78840 79935 95922 106580 127896 143883 159870 191844 213160 239805 287766 319740 383688 479610 575532 639480 719415 959220 1151064 1438830 1918440 2877660 5755320