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1669414400 = 2952130423
BaseRepresentation
bin110001110000001…
…0011111000000000
311022100022001000222
41203200103320000
511404332230100
6433353202212
756240534243
oct14340237000
94270261028
101669414400
11787382825
123a7100368
13207b2ab94
1411ba0325a
159b861485
hex63813e00

1669414400 has 60 divisors (see below), whose sum is σ = 4136136312. Its totient is φ = 667760640.

The previous prime is 1669414391. The next prime is 1669414403. The reversal of 1669414400 is 44149661.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1669414403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52412 + ... + 78011.

Almost surely, 21669414400 is an apocalyptic number.

1669414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1669414400 is an abundant number, since it is smaller than the sum of its proper divisors (2466721912).

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

1669414400 is an equidigital number, since it uses as much as digits as its factorization.

1669414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130451 (or 130430 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 1669414400 is about 40858.4679105813. The cubic root of 1669414400 is about 1186.2823033816.

The spelling of 1669414400 in words is "one billion, six hundred sixty-nine million, four hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 2560 3200 6400 12800 130423 260846 521692 652115 1043384 1304230 2086768 2608460 3260575 4173536 5216920 6521150 8347072 10433840 13042300 16694144 20867680 26084600 33388288 41735360 52169200 66776576 83470720 104338400 166941440 208676800 333882880 417353600 834707200 1669414400