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5366160 = 2432529257
BaseRepresentation
bin10100011110000110010000
3101002121222200
4110132012100
52333204120
6311003200
763416532
oct24360620
911077880
105366160
113035748
121969500
13115b657
149d9852
1570ee90
hex51e190

5366160 has 120 divisors (see below), whose sum is σ = 18715320. Its totient is φ = 1376256.

The previous prime is 5366159. The next prime is 5366161. The reversal of 5366160 is 616635.

It is an interprime number because it is at equal distance from previous prime (5366159) and next prime (5366161).

It can be written as a sum of positive squares in 4 ways, for example, as 2039184 + 3326976 = 1428^2 + 1824^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (5366161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20752 + ... + 21008.

It is an arithmetic number, because the mean of its divisors is an integer number (155961).

Almost surely, 25366160 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 5366160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9357660).

5366160 is an abundant number, since it is smaller than the sum of its proper divisors (13349160).

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

5366160 is a wasteful number, since it uses less digits than its factorization.

5366160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5366160 is about 2316.4973559234. The cubic root of 5366160 is about 175.0738191970.

The spelling of 5366160 in words is "five million, three hundred sixty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 257 261 290 348 360 435 464 514 522 580 696 720 771 870 1028 1044 1160 1285 1305 1392 1542 1740 2056 2088 2313 2320 2570 2610 3084 3480 3855 4112 4176 4626 5140 5220 6168 6960 7453 7710 9252 10280 10440 11565 12336 14906 15420 18504 20560 20880 22359 23130 29812 30840 37008 37265 44718 46260 59624 61680 67077 74530 89436 92520 111795 119248 134154 149060 178872 185040 223590 268308 298120 335385 357744 447180 536616 596240 670770 894360 1073232 1341540 1788720 2683080 5366160