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5750160 = 2435131997
BaseRepresentation
bin10101111011110110010000
3101211010201220
4111323312100
52433001120
6323125040
766606213
oct25736620
911733656
105750160
1132781a9
121b13780
131264380
14a9977a
15788b40
hex57bd90

5750160 has 160 divisors (see below), whose sum is σ = 20415360. Its totient is φ = 1327104.

The previous prime is 5750153. The next prime is 5750167. The reversal of 5750160 is 610575.

It is an interprime number because it is at equal distance from previous prime (5750153) and next prime (5750167).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5750160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5750167) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 59232 + ... + 59328.

It is an arithmetic number, because the mean of its divisors is an integer number (127596).

Almost surely, 25750160 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 5750160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10207680).

5750160 is an abundant number, since it is smaller than the sum of its proper divisors (14665200).

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

5750160 is a wasteful number, since it uses less digits than its factorization.

5750160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 5750160 is about 2397.9491237305. The cubic root of 5750160 is about 179.1540552387.

The spelling of 5750160 in words is "five million, seven hundred fifty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 97 104 114 120 130 152 156 190 194 195 208 228 240 247 260 285 291 304 312 380 388 390 456 485 494 520 570 582 624 741 760 776 780 912 970 988 1040 1140 1164 1235 1261 1455 1482 1520 1552 1560 1843 1940 1976 2280 2328 2470 2522 2910 2964 3120 3686 3705 3783 3880 3952 4560 4656 4940 5044 5529 5820 5928 6305 7372 7410 7566 7760 9215 9880 10088 11058 11640 11856 12610 14744 14820 15132 18430 18915 19760 20176 22116 23280 23959 25220 27645 29488 29640 30264 36860 37830 44232 47918 50440 55290 59280 60528 71877 73720 75660 88464 95836 100880 110580 119795 143754 147440 151320 191672 221160 239590 287508 302640 359385 383344 442320 479180 575016 718770 958360 1150032 1437540 1916720 2875080 5750160