Search a number
-
+
1987977216 = 2133233517
BaseRepresentation
bin111011001111110…
…0010000000000000
312010112201201001210
41312133202000000
513032410232331
6525133130120
7100156345641
oct16637420000
95115651053
101987977216
11930185785
12475929940
13258b27ba4
1414c0496c8
15b97da446
hex767e2000

1987977216 has 112 divisors (see below), whose sum is σ = 5532997824. Its totient is φ = 633667584.

The previous prime is 1987977191. The next prime is 1987977217. The reversal of 1987977216 is 6127797891.

It is a super-2 number, since 2×19879772162 = 7904106822670221312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1987977217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 563490 + ... + 567006.

Almost surely, 21987977216 is an apocalyptic number.

1987977216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1987977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766498912).

1987977216 is an abundant number, since it is smaller than the sum of its proper divisors (3545020608).

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

1987977216 is an equidigital number, since it uses as much as digits as its factorization.

1987977216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3545 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 57.

The square root of 1987977216 is about 44586.7381179651. The cubic root of 1987977216 is about 1257.3913476523.

The spelling of 1987977216 in words is "one billion, nine hundred eighty-seven million, nine hundred seventy-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2048 2208 2944 3072 3517 4096 4416 5888 6144 7034 8192 8832 10551 11776 12288 14068 17664 21102 23552 24576 28136 35328 42204 47104 56272 70656 80891 84408 94208 112544 141312 161782 168816 188416 225088 242673 282624 323564 337632 450176 485346 565248 647128 675264 900352 970692 1294256 1350528 1800704 1941384 2588512 2701056 3601408 3882768 5177024 5402112 7202816 7765536 10354048 10804224 14405632 15531072 20708096 21608448 28811264 31062144 41416192 43216896 62124288 82832384 86433792 124248576 165664768 248497152 331329536 496994304 662659072 993988608 1987977216