[go: up one dir, main page]

Search a number
-
+
266516316 = 2232112932297
BaseRepresentation
bin11111110001010…
…11011101011100
3200120111102122200
433320223131130
51021212010231
642240211500
76414231333
oct1770533534
9616442580
10266516316
11127494720
1275309b90
13432a6281
1427578d1a
15185e7be6
hexfe2b75c

266516316 has 72 divisors (see below), whose sum is σ = 737768304. Its totient is φ = 80451840.

The previous prime is 266516267. The next prime is 266516353. The reversal of 266516316 is 613615662.

266516316 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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, 114880 + ... + 117176.

It is an arithmetic number, because the mean of its divisors is an integer number (10246782).

Almost surely, 2266516316 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 266516316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368884152).

266516316 is an abundant number, since it is smaller than the sum of its proper divisors (471251988).

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

266516316 is a wasteful number, since it uses less digits than its factorization.

266516316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2606 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 266516316 is about 16325.3274392889. The cubic root of 266516316 is about 643.5385986849.

It can be divided in two parts, 26651631 and 6, that multiplied together give a triangular number (159909786 = T17883).

The spelling of 266516316 in words is "two hundred sixty-six million, five hundred sixteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 293 396 586 879 1172 1758 2297 2637 3223 3516 4594 5274 6446 6891 9188 9669 10548 12892 13782 19338 20673 25267 27564 29007 38676 41346 50534 58014 75801 82692 101068 116028 151602 227403 303204 454806 673021 909612 1346042 2019063 2692084 4038126 6057189 7403231 8076252 12114378 14806462 22209693 24228756 29612924 44419386 66629079 88838772 133258158 266516316