Search a number
-
+
5071001200 = 245219838039
BaseRepresentation
bin1001011100100000…
…10101011001110000
3111002101222112220021
410232100111121300
540341134014300
62155105053224
7236443541026
oct45620253160
914071875807
105071001200
1121724a2291
12b96327214
1362a78b035
143616a4716
151ea2cdd1a
hex12e415670

5071001200 has 120 divisors (see below), whose sum is σ = 12980419200. Its totient is φ = 1898254080.

The previous prime is 5071001183. The next prime is 5071001203. The reversal of 5071001200 is 21001705.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5071001203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626781 + ... + 634819.

It is an arithmetic number, because the mean of its divisors is an integer number (108170160).

Almost surely, 25071001200 is an apocalyptic number.

5071001200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5071001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6490209600).

5071001200 is an abundant number, since it is smaller than the sum of its proper divisors (7909418000).

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

5071001200 is a wasteful number, since it uses less digits than its factorization.

5071001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8159 (or 8148 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 5071001200 is about 71210.9626391892. The cubic root of 5071001200 is about 1718.0319566814.

Adding to 5071001200 its reverse (21001705), we get a palindrome (5092002905).

The spelling of 5071001200 in words is "five billion, seventy-one million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 83 95 100 152 166 190 200 304 332 380 400 415 475 664 760 830 950 1328 1520 1577 1660 1900 2075 3154 3320 3800 4150 6308 6640 7600 7885 8039 8300 12616 15770 16078 16600 25232 31540 32156 33200 39425 40195 63080 64312 78850 80390 126160 128624 152741 157700 160780 200975 305482 315400 321560 401950 610964 630800 643120 667237 763705 803900 1221928 1334474 1527410 1607800 2443856 2668948 3054820 3215600 3336185 3818525 5337896 6109640 6672370 7637050 10675792 12219280 12677503 13344740 15274100 16680925 25355006 26689480 30548200 33361850 50710012 53378960 61096400 63387515 66723700 101420024 126775030 133447400 202840048 253550060 266894800 316937575 507100120 633875150 1014200240 1267750300 2535500600 5071001200