Search a number
-
+
987960000 = 263548233
BaseRepresentation
bin111010111000110…
…001001011000000
32112212000120100010
4322320301023000
54010404210000
6242011224520
733324343566
oct7270611300
92485016303
10987960000
1146774aa75
12236a48140
131298b2c21
14952d5a36
155bb03d50
hex3ae312c0

987960000 has 140 divisors (see below), whose sum is σ = 3266823032. Its totient is φ = 263424000.

The previous prime is 987959983. The next prime is 987960007. The reversal of 987960000 is 69789.

It is not an unprimeable number, because it can be changed into a prime (987960007) 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 19 ways as a sum of consecutive naturals, for example, 115884 + ... + 124116.

Almost surely, 2987960000 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 987960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633411516).

987960000 is an abundant number, since it is smaller than the sum of its proper divisors (2278863032).

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

987960000 is an equidigital number, since it uses as much as digits as its factorization.

987960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8268 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 987960000 is about 31431.8309998002. The cubic root of 987960000 is about 995.9704512129.

The spelling of 987960000 in words is "nine hundred eighty-seven million, nine hundred sixty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 8233 10000 12000 15000 16466 20000 24000 24699 30000 32932 40000 41165 49398 60000 65864 82330 98796 120000 123495 131728 164660 197592 205825 246990 263456 329320 395184 411650 493980 526912 617475 658640 790368 823300 987960 1029125 1234950 1317280 1580736 1646600 1975920 2058250 2469900 2634560 3087375 3293200 3951840 4116500 4939800 5145625 6174750 6586400 7903680 8233000 9879600 10291250 12349500 13172800 15436875 16466000 19759200 20582500 24699000 30873750 32932000 39518400 41165000 49398000 61747500 65864000 82330000 98796000 123495000 164660000 197592000 246990000 329320000 493980000 987960000