Search a number
-
+
5900160 = 27357439
BaseRepresentation
bin10110100000011110000000
3102002202111110
4112200132000
53002301120
6330243320
7101102430
oct26403600
912082443
105900160
11336a972
121b86540
1312b7726
14ad82c0
157b82e0
hex5a0780

5900160 has 128 divisors (see below), whose sum is σ = 21542400. Its totient is φ = 1345536.

The previous prime is 5900129. The next prime is 5900161. The reversal of 5900160 is 610095.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5900161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13221 + ... + 13659.

It is an arithmetic number, because the mean of its divisors is an integer number (168300).

Almost surely, 25900160 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 5900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10771200).

5900160 is an abundant number, since it is smaller than the sum of its proper divisors (15642240).

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

5900160 is a wasteful number, since it uses less digits than its factorization.

5900160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 5900160 is about 2429.0244955537. The cubic root of 5900160 is about 180.6985203355.

The spelling of 5900160 in words is "five million, nine hundred thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 439 448 480 560 640 672 840 878 896 960 1120 1317 1344 1680 1756 1920 2195 2240 2634 2688 3073 3360 3512 4390 4480 5268 6146 6585 6720 7024 8780 9219 10536 12292 13170 13440 14048 15365 17560 18438 21072 24584 26340 28096 30730 35120 36876 42144 46095 49168 52680 56192 61460 70240 73752 84288 92190 98336 105360 122920 140480 147504 168576 184380 196672 210720 245840 280960 295008 368760 393344 421440 491680 590016 737520 842880 983360 1180032 1475040 1966720 2950080 5900160