Search a number
-
+
1980776196 = 2232721915879
BaseRepresentation
bin111011000010000…
…0011111100000100
312010001011212010100
41312010003330010
513024034314241
6524314524100
7100041214500
oct16604037404
95101155110
101980776196
11927107523
12473436630
132574a6329
1414b0d3300
15b8d669b6
hex76103f04

1980776196 has 108 divisors (see below), whose sum is σ = 5855915520. Its totient is φ = 562877280.

The previous prime is 1980776191. The next prime is 1980776197. The reversal of 1980776196 is 6916770891.

1980776196 is a `hidden beast` number, since 19 + 8 + 0 + 7 + 7 + 619 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1980776191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 333985 + ... + 339863.

It is an arithmetic number, because the mean of its divisors is an integer number (54221440).

Almost surely, 21980776196 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 1980776196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927957760).

1980776196 is an abundant number, since it is smaller than the sum of its proper divisors (3875139324).

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

1980776196 is a wasteful number, since it uses less digits than its factorization.

1980776196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6094 (or 6082 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 1980776196 is about 44505.9119219009. The cubic root of 1980776196 is about 1255.8713008960.

The spelling of 1980776196 in words is "one billion, nine hundred eighty million, seven hundred seventy-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 191 196 252 294 382 441 573 588 764 882 1146 1337 1719 1764 2292 2674 3438 4011 5348 5879 6876 8022 9359 11758 12033 16044 17637 18718 23516 24066 28077 35274 37436 41153 48132 52911 56154 70548 82306 84231 105822 112308 123459 164612 168462 211644 246918 288071 336924 370377 493836 576142 740754 864213 1122889 1152284 1481508 1728426 2245778 2592639 3368667 3456852 4491556 5185278 6737334 7860223 10106001 10370556 13474668 15720446 20212002 23580669 31440892 40424004 47161338 55021561 70742007 94322676 110043122 141484014 165064683 220086244 282968028 330129366 495194049 660258732 990388098 1980776196