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1920468300 = 223527099029
BaseRepresentation
bin111001001111000…
…0000010101001100
311221211200220020120
41302132000111030
512413114441200
6514322144540
765406465642
oct16236002514
94854626216
101920468300
118a6066293
124571b2150
13247b4c19a
141430b5192
15b39029a0
hex7278054c

1920468300 has 72 divisors (see below), whose sum is σ = 5565008400. Its totient is φ = 511345920.

The previous prime is 1920468299. The next prime is 1920468373. The reversal of 1920468300 is 38640291.

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 23 ways as a sum of consecutive naturals, for example, 208186 + ... + 217214.

Almost surely, 21920468300 is an apocalyptic number.

1920468300 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 1920468300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782504200).

1920468300 is an abundant number, since it is smaller than the sum of its proper divisors (3644540100).

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

1920468300 is a wasteful number, since it uses less digits than its factorization.

1920468300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9755 (or 9748 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1920468300 is about 43823.1479928131. The cubic root of 1920468300 is about 1242.9940439576.

The spelling of 1920468300 in words is "one billion, nine hundred twenty million, four hundred sixty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 709 1418 2127 2836 3545 4254 7090 8508 9029 10635 14180 17725 18058 21270 27087 35450 36116 42540 45145 53175 54174 70900 90290 106350 108348 135435 180580 212700 225725 270870 451450 541740 677175 902900 1354350 2708700 6401561 12803122 19204683 25606244 32007805 38409366 64015610 76818732 96023415 128031220 160039025 192046830 320078050 384093660 480117075 640156100 960234150 1920468300