Search a number
-
+
61669000 = 235383743
BaseRepresentation
bin1110101100111…
…1111010001000
311022001002222001
43223033322020
5111241402000
610041440344
71346115001
oct353177210
9138032861
1061669000
11318a0918
12187a00b4
13ca12843
1482941a8
15563246a
hex3acfe88

61669000 has 64 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 24337600.

The previous prime is 61668991. The next prime is 61669001. The reversal of 61669000 is 96616.

It is a happy number.

It is a super-2 number, since 2×616690002 = 7606131122000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61669000.

It is not an unprimeable number, because it can be changed into a prime (61669001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82629 + ... + 83371.

It is an arithmetic number, because the mean of its divisors is an integer number (2285010).

Almost surely, 261669000 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 61669000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

61669000 is an abundant number, since it is smaller than the sum of its proper divisors (84571640).

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

61669000 is a wasteful number, since it uses less digits than its factorization.

61669000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 833 counting only the distinct ones).

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

The square root of 61669000 is about 7852.9612249138. The cubic root of 61669000 is about 395.0835693501.

The spelling of 61669000 in words is "sixty-one million, six hundred sixty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 200 250 332 415 500 664 743 830 1000 1486 1660 2075 2972 3320 3715 4150 5944 7430 8300 10375 14860 16600 18575 20750 29720 37150 41500 61669 74300 83000 92875 123338 148600 185750 246676 308345 371500 493352 616690 743000 1233380 1541725 2466760 3083450 6166900 7708625 12333800 15417250 30834500 61669000