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1981044320 = 255103120209
BaseRepresentation
bin111011000010100…
…0101011001100000
312010001200110220212
41312011011121200
513024121404240
6524324353252
7100043412263
oct16605053140
95101613825
101981044320
1192727aa12
12473545828
1325756b398
1414b162cda
15b8dbb165
hex76145660

1981044320 has 48 divisors (see below), whose sum is σ = 4725695520. Its totient is φ = 784717824.

The previous prime is 1981044311. The next prime is 1981044383. The reversal of 1981044320 is 234401891.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 43625 + ... + 76584.

It is an arithmetic number, because the mean of its divisors is an integer number (98451990).

Almost surely, 21981044320 is an apocalyptic number.

1981044320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1981044320 is an abundant number, since it is smaller than the sum of its proper divisors (2744651200).

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

1981044320 is a wasteful number, since it uses less digits than its factorization.

1981044320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120327 (or 120319 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 1981044320 is about 44508.9240490039. The cubic root of 1981044320 is about 1255.9279645489.

The spelling of 1981044320 in words is "one billion, nine hundred eighty-one million, forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 412 515 824 1030 1648 2060 3296 4120 8240 16480 120209 240418 480836 601045 961672 1202090 1923344 2404180 3846688 4808360 9616720 12381527 19233440 24763054 49526108 61907635 99052216 123815270 198104432 247630540 396208864 495261080 990522160 1981044320