Search a number
-
+
2114879056 = 241929415851
BaseRepresentation
bin111111000001110…
…0111111001010000
312110101111222122221
41332003213321100
513312402112211
6545505110424
7103260114103
oct17603477120
95411458587
102114879056
11995880a34
124b0328414
132791ca434
14160c4073a
15c5a05c71
hex7e0e7e50

2114879056 has 80 divisors (see below), whose sum is σ = 4571582400. Its totient is φ = 943488000.

The previous prime is 2114879047. The next prime is 2114879111. The reversal of 2114879056 is 6509784112.

It is a super-2 number, since 2×21148790562 = 8945426843014902272, 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358531 + ... + 364381.

It is an arithmetic number, because the mean of its divisors is an integer number (57144780).

Almost surely, 22114879056 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 2114879056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285791200).

2114879056 is an abundant number, since it is smaller than the sum of its proper divisors (2456703344).

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

2114879056 is a wasteful number, since it uses less digits than its factorization.

2114879056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5948 (or 5942 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The square root of 2114879056 is about 45987.8142120280. The cubic root of 2114879056 is about 1283.5964641910.

The spelling of 2114879056 in words is "two billion, one hundred fourteen million, eight hundred seventy-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 19 29 38 41 58 76 82 116 152 164 232 304 328 464 551 656 779 1102 1189 1558 2204 2378 3116 4408 4756 5851 6232 8816 9512 11702 12464 19024 22591 23404 45182 46808 90364 93616 111169 169679 180728 222338 239891 339358 361456 444676 479782 678716 889352 959564 1357432 1778704 1919128 2714864 3223901 3838256 4557929 6447802 6956839 9115858 12895604 13913678 18231716 25791208 27827356 36463432 51582416 55654712 72926864 111309424 132179941 264359882 528719764 1057439528 2114879056