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69940000 = 255413269
BaseRepresentation
bin1000010101100…
…11001100100000
311212121022122101
410022303030200
5120401040000
610535020144
71506323464
oct412631440
9155538571
1069940000
113652aa59
121b50a654
131164a420
1494084a4
156217e6a
hex42b3320

69940000 has 120 divisors (see below), whose sum is σ = 185987340. Its totient is φ = 25728000.

The previous prime is 69939971. The next prime is 69940009. The reversal of 69940000 is 4996.

It can be written as a sum of positive squares in 10 ways, for example, as 31945104 + 37994896 = 5652^2 + 6164^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (69940009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 259866 + ... + 260134.

Almost surely, 269940000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92993670).

69940000 is an abundant number, since it is smaller than the sum of its proper divisors (116047340).

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

69940000 is a wasteful number, since it uses less digits than its factorization.

69940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 69940000 is about 8363.0138108220. The cubic root of 69940000 is about 412.0107453131.

Adding to 69940000 its reverse (4996), we get a palindrome (69944996).

The spelling of 69940000 in words is "sixty-nine million, nine hundred forty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 269 325 400 416 500 520 538 625 650 800 1000 1040 1076 1250 1300 1345 1625 2000 2080 2152 2500 2600 2690 3250 3497 4000 4304 5000 5200 5380 6500 6725 6994 8125 8608 10000 10400 10760 13000 13450 13988 16250 17485 20000 21520 26000 26900 27976 32500 33625 34970 43040 52000 53800 55952 65000 67250 69940 87425 107600 111904 130000 134500 139880 168125 174850 215200 260000 269000 279760 336250 349700 437125 538000 559520 672500 699400 874250 1076000 1345000 1398800 1748500 2185625 2690000 2797600 3497000 4371250 5380000 6994000 8742500 13988000 17485000 34970000 69940000