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5180160 = 28351971
BaseRepresentation
bin10011110000101100000000
3100202011211210
4103300230000
52311231120
6303010120
762013336
oct23605400
910664753
105180160
112a18a27
121899940
1310c4aab
1498bb56
156c4ce0
hex4f0b00

5180160 has 144 divisors (see below), whose sum is σ = 17660160. Its totient is φ = 1290240.

The previous prime is 5180159. The next prime is 5180171. The reversal of 5180160 is 610815.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72925 + ... + 72995.

It is an arithmetic number, because the mean of its divisors is an integer number (122640).

Almost surely, 25180160 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 5180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8830080).

5180160 is an abundant number, since it is smaller than the sum of its proper divisors (12480000).

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

5180160 is a wasteful number, since it uses less digits than its factorization.

5180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 5180160 is about 2275.9964850588. The cubic root of 5180160 is about 173.0272045605.

Adding to 5180160 its reverse (610815), we get a palindrome (5790975).

The spelling of 5180160 in words is "five million, one hundred eighty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 71 76 80 95 96 114 120 128 142 152 160 190 192 213 228 240 256 284 285 304 320 355 380 384 426 456 480 568 570 608 640 710 760 768 852 912 960 1065 1136 1140 1216 1280 1349 1420 1520 1704 1824 1920 2130 2272 2280 2432 2698 2840 3040 3408 3648 3840 4047 4260 4544 4560 4864 5396 5680 6080 6745 6816 7296 8094 8520 9088 9120 10792 11360 12160 13490 13632 14592 16188 17040 18176 18240 20235 21584 22720 24320 26980 27264 32376 34080 36480 40470 43168 45440 53960 54528 64752 68160 72960 80940 86336 90880 107920 129504 136320 161880 172672 215840 259008 272640 323760 345344 431680 518016 647520 863360 1036032 1295040 1726720 2590080 5180160