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5168160 = 253253797
BaseRepresentation
bin10011101101110000100000
3100201120101100
4103231300200
52310340120
6302434400
761633344
oct23556040
910646340
105168160
112a0aa08
121892a00
1310bc4aa
14987624
156c1490
hex4edc20

5168160 has 144 divisors (see below), whose sum is σ = 18299736. Its totient is φ = 1327104.

The previous prime is 5168147. The next prime is 5168201. The reversal of 5168160 is 618615.

It can be written as a sum of positive squares in 4 ways, for example, as 4822416 + 345744 = 2196^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 53232 + ... + 53328.

Almost surely, 25168160 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 5168160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9149868).

5168160 is an abundant number, since it is smaller than the sum of its proper divisors (13131576).

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

5168160 is a wasteful number, since it uses less digits than its factorization.

5168160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5168160 is about 2273.3587486360. The cubic root of 5168160 is about 172.8934936447.

The spelling of 5168160 in words is "five million, one hundred sixty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 90 96 97 111 120 144 148 160 180 185 194 222 240 288 291 296 333 360 370 388 444 480 485 555 582 592 666 720 740 776 873 888 970 1110 1164 1184 1332 1440 1455 1480 1552 1665 1746 1776 1940 2220 2328 2664 2910 2960 3104 3330 3492 3552 3589 3880 4365 4440 4656 5328 5820 5920 6660 6984 7178 7760 8730 8880 9312 10656 10767 11640 13320 13968 14356 15520 17460 17760 17945 21534 23280 26640 27936 28712 32301 34920 35890 43068 46560 53280 53835 57424 64602 69840 71780 86136 107670 114848 129204 139680 143560 161505 172272 215340 258408 287120 323010 344544 430680 516816 574240 646020 861360 1033632 1292040 1722720 2584080 5168160