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1980250000 = 2456892
BaseRepresentation
bin111011000001000…
…0011011110010000
312010000012010022121
41312002003132100
513023421000000
6524255344024
7100033563421
oct16602033620
95100163277
101980250000
11926888153
12473222014
13257350981
1414add7648
15b8cb0b1a
hex76083790

1980250000 has 105 divisors (see below), whose sum is σ = 4850348071. Its totient is φ = 783200000.

The previous prime is 1980249967. The next prime is 1980250001. The reversal of 1980250000 is 520891.

The square root of 1980250000 is 44500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 1045358224 + 934891776 = 32332^2 + 30576^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1980250001) 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 20 ways as a sum of consecutive naturals, for example, 22249956 + ... + 22250044.

Almost surely, 21980250000 is an apocalyptic number.

1980250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1980250000 is the 44500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1980250000

1980250000 is an abundant number, since it is smaller than the sum of its proper divisors (2870098071).

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

1980250000 is an frugal number, since it uses more digits than its factorization.

1980250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The cubic root of 1980250000 is about 1255.7600830509.

Multiplying 1980250000 by its sum of digits (25), we get a square (49506250000 = 2225002).

1980250000 divided by its sum of digits (25) gives a square (79210000 = 89002).

Adding to 1980250000 its reverse (520891), we get a palindrome (1980770891).

The spelling of 1980250000 in words is "one billion, nine hundred eighty million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 125 178 200 250 356 400 445 500 625 712 890 1000 1250 1424 1780 2000 2225 2500 3125 3560 4450 5000 6250 7120 7921 8900 10000 11125 12500 15625 15842 17800 22250 25000 31250 31684 35600 39605 44500 50000 55625 62500 63368 79210 89000 111250 125000 126736 158420 178000 198025 222500 250000 278125 316840 396050 445000 556250 633680 792100 890000 990125 1112500 1390625 1584200 1980250 2225000 2781250 3168400 3960500 4450000 4950625 5562500 7921000 9901250 11125000 15842000 19802500 22250000 24753125 39605000 49506250 79210000 99012500 123765625 198025000 247531250 396050000 495062500 990125000 1980250000