Search a number
-
+
5890160 = 245176171
BaseRepresentation
bin10110011110000001110000
3102002020210002
4112132001300
53001441120
6330125132
7101031323
oct26360160
912066702
105890160
113363401
121b807a8
1312b3003
14ad47ba
157b5375
hex59e070

5890160 has 80 divisors (see below), whose sum is σ = 14945472. Its totient is φ = 2150400.

The previous prime is 5890123. The next prime is 5890189. The reversal of 5890160 is 610985.

It is a tau number, because it is divible by the number of its divisors (80).

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, 82925 + ... + 82995.

Almost surely, 25890160 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 5890160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7472736).

5890160 is an abundant number, since it is smaller than the sum of its proper divisors (9055312).

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

5890160 is a wasteful number, since it uses less digits than its factorization.

5890160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 5890160 is about 2426.9651831042. The cubic root of 5890160 is about 180.5963758155.

The spelling of 5890160 in words is "five million, eight hundred ninety thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 61 68 71 80 85 122 136 142 170 244 272 284 305 340 355 488 568 610 680 710 976 1037 1136 1207 1220 1360 1420 2074 2414 2440 2840 4148 4331 4828 4880 5185 5680 6035 8296 8662 9656 10370 12070 16592 17324 19312 20740 21655 24140 34648 41480 43310 48280 69296 73627 82960 86620 96560 147254 173240 294508 346480 368135 589016 736270 1178032 1472540 2945080 5890160