Search a number
-
+
2121310440 = 233255892529
BaseRepresentation
bin111111001110000…
…1010000011101000
312110211121201212100
41332130022003220
513321023413230
6550255013400
7103365561354
oct17634120350
95424551770
102121310440
11999473a27
124b250a260
1327a63c8a2
14161a36464
15c6376660
hex7e70a0e8

2121310440 has 48 divisors (see below), whose sum is σ = 6894260100. Its totient is φ = 565682688.

The previous prime is 2121310421. The next prime is 2121310453. The reversal of 2121310440 is 440131212.

2121310440 is a `hidden beast` number, since 2 + 1 + 213 + 10 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2083192164 + 38118276 = 45642^2 + 6174^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2945905 + ... + 2946624.

Almost surely, 22121310440 is an apocalyptic number.

2121310440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121310440 is an abundant number, since it is smaller than the sum of its proper divisors (4772949660).

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

2121310440 is a wasteful number, since it uses less digits than its factorization.

2121310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5892546 (or 5892539 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2121310440 is about 46057.6860035326. The cubic root of 2121310440 is about 1284.8962938709.

Adding to 2121310440 its reverse (440131212), we get a palindrome (2561441652).

The spelling of 2121310440 in words is "two billion, one hundred twenty-one million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5892529 11785058 17677587 23570116 29462645 35355174 47140232 53032761 58925290 70710348 88387935 106065522 117850580 141420696 176775870 212131044 235701160 265163805 353551740 424262088 530327610 707103480 1060655220 2121310440