Search a number
-
+
2077122820 = 225103856141
BaseRepresentation
bin111101111001110…
…0110000100000100
312100202110202211211
41323303212010010
513223220412240
6542035541204
7102321152443
oct17363460404
95322422754
102077122820
11976533133
1249b75a804
1327143ac76
14159c12d5a
15c2548bea
hex7bce6104

2077122820 has 12 divisors (see below), whose sum is σ = 4361957964. Its totient is φ = 830849120.

The previous prime is 2077122809. The next prime is 2077122829. The reversal of 2077122820 is 282217702.

It can be written as a sum of positive squares in 2 ways, for example, as 912402436 + 1164720384 = 30206^2 + 34128^2 .

It is not an unprimeable number, because it can be changed into a prime (2077122829) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51928051 + ... + 51928090.

It is an arithmetic number, because the mean of its divisors is an integer number (363496497).

Almost surely, 22077122820 is an apocalyptic number.

2077122820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2077122820 is an abundant number, since it is smaller than the sum of its proper divisors (2284835144).

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

2077122820 is a wasteful number, since it uses less digits than its factorization.

2077122820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103856150 (or 103856148 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 2077122820 is about 45575.4629159156. The cubic root of 2077122820 is about 1275.9120108154.

The spelling of 2077122820 in words is "two billion, seventy-seven million, one hundred twenty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 103856141 207712282 415424564 519280705 1038561410 2077122820