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1982660000 = 255499133
BaseRepresentation
bin111011000101100…
…1111110110100000
312010011201120012212
41312023033312200
513030030110000
6524423141252
7100063221566
oct16613176640
95104646185
101982660000
11928183892
12473ba4828
132579b58c9
1414b463a36
15b90d9c35
hex762cfda0

1982660000 has 60 divisors (see below), whose sum is σ = 4877690202. Its totient is φ = 793056000.

The previous prime is 1982659967. The next prime is 1982660033. The reversal of 1982660000 is 662891.

It is an interprime number because it is at equal distance from previous prime (1982659967) and next prime (1982660033).

It can be written as a sum of positive squares in 5 ways, for example, as 4545424 + 1978114576 = 2132^2 + 44476^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 29567 + ... + 69566.

Almost surely, 21982660000 is an apocalyptic number.

1982660000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1982660000 is an abundant number, since it is smaller than the sum of its proper divisors (2895030202).

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

1982660000 is an frugal number, since it uses more digits than its factorization.

1982660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99163 (or 99140 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 1982660000 is about 44527.0704178930. The cubic root of 1982660000 is about 1256.2693040935.

The spelling of 1982660000 in words is "one billion, nine hundred eighty-two million, six hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 99133 198266 396532 495665 793064 991330 1586128 1982660 2478325 3172256 3965320 4956650 7930640 9913300 12391625 15861280 19826600 24783250 39653200 49566500 61958125 79306400 99133000 123916250 198266000 247832500 396532000 495665000 991330000 1982660000