Search a number
-
+
1980878616 = 2332137409491
BaseRepresentation
bin111011000010001…
…1100111100011000
312010001101001121200
41312010130330120
513024101103431
6524321034200
7100042122213
oct16604347430
95101331550
101980878616
11927177472
12473485960
13257510b32
1414b11c77a
15b8d86ee6
hex7611cf18

1980878616 has 96 divisors (see below), whose sum is σ = 5428285200. Its totient is φ = 652538880.

The previous prime is 1980878561. The next prime is 1980878621. The reversal of 1980878616 is 6168780891.

1980878616 is a `hidden beast` number, since 19 + 8 + 0 + 8 + 7 + 8 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4034131 + ... + 4034621.

Almost surely, 21980878616 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 1980878616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714142600).

1980878616 is an abundant number, since it is smaller than the sum of its proper divisors (3447406584).

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

1980878616 is a wasteful number, since it uses less digits than its factorization.

1980878616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 1980878616 is about 44507.0625406800. The cubic root of 1980878616 is about 1255.8929463032.

The spelling of 1980878616 in words is "one billion, nine hundred eighty million, eight hundred seventy-eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 409 411 491 548 818 822 982 1096 1227 1233 1473 1636 1644 1964 2454 2466 2946 3272 3288 3681 3928 4419 4908 4932 5892 7362 8838 9816 9864 11784 14724 17676 29448 35352 56033 67267 112066 134534 168099 200819 201801 224132 269068 336198 401638 403602 448264 504297 538136 602457 605403 672396 803276 807204 1008594 1204914 1210806 1344792 1606552 1614408 1807371 2017188 2409828 2421612 3614742 4034376 4819656 4843224 7229484 14458968 27512203 55024406 82536609 110048812 165073218 220097624 247609827 330146436 495219654 660292872 990439308 1980878616