Search a number
-
+
1989683200 = 2115238861
BaseRepresentation
bin111011010011000…
…0010100000000000
312010122221101020101
41312212002200000
513033324330300
6525233452144
7100210012441
oct16646024000
95118841211
101989683200
1193114048a
12476411054
132592a454b
1414c3712c8
15b9a25b6a
hex76982800

1989683200 has 72 divisors (see below), whose sum is σ = 4933336590. Its totient is φ = 795852800.

The previous prime is 1989683191. The next prime is 1989683203. The reversal of 1989683200 is 23869891.

It can be written as a sum of positive squares in 3 ways, for example, as 1792336896 + 197346304 = 42336^2 + 14048^2 .

It is not an unprimeable number, because it can be changed into a prime (1989683203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31770 + ... + 70630.

Almost surely, 21989683200 is an apocalyptic number.

1989683200 is a gapful number since it is divisible by the number (10) 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 1989683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466668295).

1989683200 is an abundant number, since it is smaller than the sum of its proper divisors (2943653390).

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

1989683200 is an equidigital number, since it uses as much as digits as its factorization.

1989683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38893 (or 38868 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 1989683200 is about 44605.8650852105. The cubic root of 1989683200 is about 1257.7509218957.

The spelling of 1989683200 in words is "one billion, nine hundred eighty-nine million, six hundred eighty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 3200 5120 6400 10240 12800 25600 38861 51200 77722 155444 194305 310888 388610 621776 777220 971525 1243552 1554440 1943050 2487104 3108880 3886100 4974208 6217760 7772200 9948416 12435520 15544400 19896832 24871040 31088800 39793664 49742080 62177600 79587328 99484160 124355200 198968320 248710400 397936640 497420800 994841600 1989683200