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5000160 = 253511947
BaseRepresentation
bin10011000100101111100000
3100102000221010
4103010233200
52240001120
6255100520
760333504
oct23045740
910360833
105000160
112905770
121811740
131060b99
14942304
1568b7e0
hex4c4be0

5000160 has 96 divisors (see below), whose sum is σ = 17200512. Its totient is φ = 1210880.

The previous prime is 5000153. The next prime is 5000161. The reversal of 5000160 is 610005.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5000161) 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, 4807 + ... + 5753.

It is an arithmetic number, because the mean of its divisors is an integer number (179172).

Almost surely, 25000160 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 5000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8600256).

5000160 is an abundant number, since it is smaller than the sum of its proper divisors (12200352).

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

5000160 is a wasteful number, since it uses less digits than its factorization.

5000160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 5000160 is about 2236.1037543012. The cubic root of 5000160 is about 170.9994186226. Note that the first 3 decimals are identical.

Adding to 5000160 its reverse (610005), we get a palindrome (5610165).

The spelling of 5000160 in words is "five million, one hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 947 1056 1320 1760 1894 2640 2841 3788 4735 5280 5682 7576 9470 10417 11364 14205 15152 18940 20834 22728 28410 30304 31251 37880 41668 45456 52085 56820 62502 75760 83336 90912 104170 113640 125004 151520 156255 166672 208340 227280 250008 312510 333344 416680 454560 500016 625020 833360 1000032 1250040 1666720 2500080 5000160