Search a number
-
+
2140264056 = 233731616737
BaseRepresentation
bin111111110010001…
…1101011001111000
312112011021200100010
41333210131121320
513340401422211
6552213141520
7104015641620
oct17744353170
95464250303
102140264056
119a913a077
124b892a8a0
13281547948
1416436b880
15c7d6c4a6
hex7f91d678

2140264056 has 128 divisors (see below), whose sum is σ = 6416732160. Its totient is φ = 581990400.

The previous prime is 2140264031. The next prime is 2140264081. The reversal of 2140264056 is 6504620412.

It is an interprime number because it is at equal distance from previous prime (2140264031) and next prime (2140264081).

It is a super-2 number, since 2×21402640562 = 9161460458811142272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314320 + ... + 321056.

It is an arithmetic number, because the mean of its divisors is an integer number (50130720).

Almost surely, 22140264056 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 2140264056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208366080).

2140264056 is an abundant number, since it is smaller than the sum of its proper divisors (4276468104).

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

2140264056 is a wasteful number, since it uses less digits than its factorization.

2140264056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6845 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2140264056 is about 46262.9879709471. The cubic root of 2140264056 is about 1288.7117431773.

Adding to 2140264056 its reverse (6504620412), we get a palindrome (8644884468).

It can be divided in two parts, 21402 and 64056, that added together give a palindrome (85458).

The spelling of 2140264056 in words is "two billion, one hundred forty million, two hundred sixty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 61 62 84 93 122 124 168 183 186 217 244 248 366 372 427 434 488 651 732 744 854 868 1281 1302 1464 1708 1736 1891 2562 2604 3416 3782 5124 5208 5673 6737 7564 10248 11346 13237 13474 15128 20211 22692 26474 26948 39711 40422 45384 47159 52948 53896 79422 80844 94318 105896 141477 158844 161688 188636 208847 282954 317688 377272 410957 417694 565908 626541 821914 835388 1131816 1232871 1253082 1461929 1643828 1670776 2465742 2506164 2876699 2923858 3287656 4385787 4931484 5012328 5753398 5847716 8630097 8771574 9862968 11506796 11695432 12739667 17260194 17543148 23013592 25479334 34520388 35086296 38219001 50958668 69040776 76438002 89177669 101917336 152876004 178355338 267533007 305752008 356710676 535066014 713421352 1070132028 2140264056