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69068400 = 2435257557
BaseRepresentation
bin1000001110111…
…10011001110000
311210222001000220
410013132121300
5120140142100
610504213040
71466033412
oct407363160
9153861026
1069068400
1135a95125
121b16a180
131140379b
14925c9b2
1560e4aa0
hex41de670

69068400 has 60 divisors (see below), whose sum is σ = 221252952. Its totient is φ = 18417920.

The previous prime is 69068359. The next prime is 69068407. The reversal of 69068400 is 486096.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69068407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 27579 + ... + 29978.

Almost surely, 269068400 is an apocalyptic number.

69068400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

69068400 is an abundant number, since it is smaller than the sum of its proper divisors (152184552).

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

69068400 is a wasteful number, since it uses less digits than its factorization.

69068400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57578 (or 57567 counting only the distinct ones).

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

The square root of 69068400 is about 8310.7400392504. The cubic root of 69068400 is about 410.2920782157.

The spelling of 69068400 in words is "sixty-nine million, sixty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 57557 115114 172671 230228 287785 345342 460456 575570 690684 863355 920912 1151140 1381368 1438925 1726710 2302280 2762736 2877850 3453420 4316775 4604560 5755700 6906840 8633550 11511400 13813680 17267100 23022800 34534200 69068400