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69090 = 2357247
BaseRepresentation
bin10000110111100010
310111202220
4100313202
54202330
61251510
7405300
oct206742
9114686
1069090
11479aa
1233b96
13255a8
141b270
1515710
hex10de2

69090 has 48 divisors (see below), whose sum is σ = 196992. Its totient is φ = 15456.

The previous prime is 69073. The next prime is 69109. The reversal of 69090 is 9096.

It can be divided in two parts, 690 and 90, that added together give a triangular number (780 = T39).

69090 = T29 + T30 + ... + T75.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 69090.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1447 + ... + 1493.

It is an arithmetic number, because the mean of its divisors is an integer number (4104).

269090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98496).

69090 is an abundant number, since it is smaller than the sum of its proper divisors (127902).

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

69090 is a wasteful number, since it uses less digits than its factorization.

69090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 69090 is about 262.8497669773. The cubic root of 69090 is about 41.0334844446.

The spelling of 69090 in words is "sixty-nine thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 49 70 94 98 105 141 147 210 235 245 282 294 329 470 490 658 705 735 987 1410 1470 1645 1974 2303 3290 4606 4935 6909 9870 11515 13818 23030 34545 69090