Search a number
-
+
10051960 = 235793181
BaseRepresentation
bin100110010110…
…000101111000
3200220200200211
4212112011320
510033130320
6555240504
7151304002
oct46260570
920820624
1010051960
115746206
123449134
13210c409
141499372
15d3855a
hex996178

10051960 has 32 divisors (see below), whose sum is σ = 22910400. Its totient is φ = 3968640.

The previous prime is 10051957. The next prime is 10051961. The reversal of 10051960 is 6915001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10051961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1570 + ... + 4750.

It is an arithmetic number, because the mean of its divisors is an integer number (715950).

Almost surely, 210051960 is an apocalyptic number.

10051960 is a gapful number since it is divisible by the number (10) 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 10051960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11455200).

10051960 is an abundant number, since it is smaller than the sum of its proper divisors (12858440).

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

10051960 is a wasteful number, since it uses less digits than its factorization.

10051960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 10051960 is about 3170.4826131048. The cubic root of 10051960 is about 215.8159726582.

Adding to 10051960 its reverse (6915001), we get a palindrome (16966961).

It can be divided in two parts, 10051 and 960, that added together give a palindrome (11011).

The spelling of 10051960 in words is "ten million, fifty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 3181 6362 12724 15905 25448 31810 63620 127240 251299 502598 1005196 1256495 2010392 2512990 5025980 10051960