Search a number
-
+
79968966 = 23711179967
BaseRepresentation
bin1001100010000…
…11101011000110
312120110211210120
410301003223012
5130433001331
611534002410
71660503450
oct461035306
9176424716
1079968966
114115a960
1222946406
131374c21c
14a8992d0
157049796
hex4c43ac6

79968966 has 64 divisors (see below), whose sum is σ = 200724480. Its totient is φ = 20633760.

The previous prime is 79968961. The next prime is 79969007. The reversal of 79968966 is 66986997.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79968961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82215 + ... + 83181.

It is an arithmetic number, because the mean of its divisors is an integer number (3136320).

Almost surely, 279968966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79968966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100362240).

79968966 is an abundant number, since it is smaller than the sum of its proper divisors (120755514).

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

79968966 is a wasteful number, since it uses less digits than its factorization.

With its successor (79968967) it forms an eRAP, since the sums of their prime factors are consecutive (1169 and 1170).

79968966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169.

The product of its digits is 8817984, while the sum is 60.

The square root of 79968966 is about 8942.5368883779. The cubic root of 79968966 is about 430.8312135283.

The spelling of 79968966 in words is "seventy-nine million, nine hundred sixty-eight thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 179 231 358 462 537 967 1074 1253 1934 1969 2506 2901 3759 3938 5802 5907 6769 7518 10637 11814 13538 13783 20307 21274 27566 31911 40614 41349 63822 74459 82698 148918 173093 223377 346186 446754 519279 1038558 1211651 1904023 2423302 3634953 3808046 5712069 7269906 11424138 13328161 26656322 39984483 79968966