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1982169120 = 25354129519
BaseRepresentation
bin111011000100101…
…1000000000100000
312010010210121212010
41312021120000200
513024413402440
6524404432520
7100056105501
oct16611300040
95103717763
101982169120
11927978aa8
124739a8740
13257873349
1414b376ba8
15b903e580
hex76258020

1982169120 has 48 divisors (see below), whose sum is σ = 6243834240. Its totient is φ = 528578304.

The previous prime is 1982169113. The next prime is 1982169131. The reversal of 1982169120 is 219612891.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2064280 + ... + 2065239.

It is an arithmetic number, because the mean of its divisors is an integer number (130079880).

Almost surely, 21982169120 is an apocalyptic number.

1982169120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1982169120 is an abundant number, since it is smaller than the sum of its proper divisors (4261665120).

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

1982169120 is a wasteful number, since it uses less digits than its factorization.

1982169120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4129537 (or 4129529 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The square root of 1982169120 is about 44521.5579242236. The cubic root of 1982169120 is about 1256.1656170642.

The spelling of 1982169120 in words is "one billion, nine hundred eighty-two million, one hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4129519 8259038 12388557 16518076 20647595 24777114 33036152 41295190 49554228 61942785 66072304 82590380 99108456 123885570 132144608 165180760 198216912 247771140 330361520 396433824 495542280 660723040 991084560 1982169120