Search a number
-
+
2068123820 = 2257107138059
BaseRepresentation
bin111101101000101…
…0001000010101100
312100010112120112112
41323101101002230
513213414430240
6541115023152
7102151522340
oct17321210254
95303476475
102068123820
11971447044
1249873aab8
1326c609c09
1415894d620
15c186c665
hex7b4510ac

2068123820 has 48 divisors (see below), whose sum is σ = 5009921280. Its totient is φ = 702439104.

The previous prime is 2068123781. The next prime is 2068123847. The reversal of 2068123820 is 283218602.

It is a super-2 number, since 2×20681238202 = 8554272269702784800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54050 + ... + 84009.

It is an arithmetic number, because the mean of its divisors is an integer number (104373360).

Almost surely, 22068123820 is an apocalyptic number.

2068123820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2068123820 is an abundant number, since it is smaller than the sum of its proper divisors (2941797460).

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

2068123820 is a wasteful number, since it uses less digits than its factorization.

2068123820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138182 (or 138180 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 2068123820 is about 45476.6293825741. The cubic root of 2068123820 is about 1274.0667413756.

The spelling of 2068123820 in words is "two billion, sixty-eight million, one hundred twenty-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 749 1070 1498 2140 2996 3745 7490 14980 138059 276118 552236 690295 966413 1380590 1932826 2761180 3865652 4832065 9664130 14772313 19328260 29544626 59089252 73861565 103406191 147723130 206812382 295446260 413624764 517030955 1034061910 2068123820