Search a number
-
+
51001120 = 2552313859
BaseRepresentation
bin1100001010001…
…1011100100000
310112222010101101
43002203130200
5101024013440
65021044144
71156334212
oct302433440
9115863341
1051001120
1126874995
12150b6654
13a748ca1
146ab85b2
15472669a
hex30a3720

51001120 has 48 divisors (see below), whose sum is σ = 125737920. Its totient is φ = 19512064.

The previous prime is 51001109. The next prime is 51001123. The reversal of 51001120 is 2110015.

It is a happy number.

It is a super-2 number, since 2×510011202 = 5202228482508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 51001097 and 51001106.

It is not an unprimeable number, because it can be changed into a prime (51001123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3250 + ... + 10609.

It is an arithmetic number, because the mean of its divisors is an integer number (2619540).

Almost surely, 251001120 is an apocalyptic number.

It is an amenable number.

51001120 is an abundant number, since it is smaller than the sum of its proper divisors (74736800).

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

51001120 is a wasteful number, since it uses less digits than its factorization.

51001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13897 (or 13889 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 51001120 is about 7141.5068437970. The cubic root of 51001120 is about 370.8456915743.

Adding to 51001120 its reverse (2110015), we get a palindrome (53111135).

The spelling of 51001120 in words is "fifty-one million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 13859 27718 55436 69295 110872 138590 221744 277180 318757 443488 554360 637514 1108720 1275028 1593785 2217440 2550056 3187570 5100112 6375140 10200224 12750280 25500560 51001120