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1681255400 = 2352115314419
BaseRepresentation
bin110010000110101…
…1110101111101000
311100011120121211112
41210031132233220
511420400133100
6434455045452
756443302146
oct14415365750
94304517745
101681255400
11793030080
123ab070888
1320a4156a6
1411d406596
159c8eeb35
hex6435ebe8

1681255400 has 96 divisors (see below), whose sum is σ = 4345034400. Its totient is φ = 599788800.

The previous prime is 1681255391. The next prime is 1681255427. The reversal of 1681255400 is 45521861.

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 23 ways as a sum of consecutive naturals, for example, 109391 + ... + 123809.

It is an arithmetic number, because the mean of its divisors is an integer number (45260775).

Almost surely, 21681255400 is an apocalyptic number.

1681255400 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 1681255400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172517200).

1681255400 is an abundant number, since it is smaller than the sum of its proper divisors (2663779000).

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

1681255400 is a wasteful number, since it uses less digits than its factorization.

1681255400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14499 (or 14490 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 1681255400 is about 41003.1145158511. The cubic root of 1681255400 is about 1189.0804279217.

The spelling of 1681255400 in words is "one billion, six hundred eighty-one million, two hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 53 55 88 100 106 110 200 212 220 265 275 424 440 530 550 583 1060 1100 1166 1325 2120 2200 2332 2650 2915 4664 5300 5830 10600 11660 14419 14575 23320 28838 29150 57676 58300 72095 115352 116600 144190 158609 288380 317218 360475 576760 634436 720950 764207 793045 1268872 1441900 1528414 1586090 2883800 3056828 3172180 3821035 3965225 6113656 6344360 7642070 7930450 8406277 15284140 15860900 16812554 19105175 30568280 31721800 33625108 38210350 42031385 67250216 76420700 84062770 152841400 168125540 210156925 336251080 420313850 840627700 1681255400