Search a number
-
+
69986466 = 232112831249
BaseRepresentation
bin1000010101111…
…10100010100010
311212200200101100
410022332202202
5120404031331
610540015230
71506606114
oct412764242
9155620340
1069986466
1136561960
121b531516
1311665614
14941b3b4
156226ae6
hex42be8a2

69986466 has 48 divisors (see below), whose sum is σ = 166140000. Its totient is φ = 21116160.

The previous prime is 69986429. The next prime is 69986471. The reversal of 69986466 is 66468996.

It is a happy number.

It is a Curzon number.

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, 55410 + ... + 56658.

It is an arithmetic number, because the mean of its divisors is an integer number (3461250).

Almost surely, 269986466 is an apocalyptic number.

69986466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 69986466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83070000).

69986466 is an abundant number, since it is smaller than the sum of its proper divisors (96153534).

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

69986466 is a wasteful number, since it uses less digits than its factorization.

69986466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1548 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 69986466 is about 8365.7914150426. The cubic root of 69986466 is about 412.1019675664.

The spelling of 69986466 in words is "sixty-nine million, nine hundred eighty-six thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 283 566 849 1249 1698 2498 2547 3113 3747 5094 6226 7494 9339 11241 13739 18678 22482 27478 28017 41217 56034 82434 123651 247302 353467 706934 1060401 2120802 3181203 3888137 6362406 7776274 11664411 23328822 34993233 69986466