Search a number
-
+
2961816 = 2331113863
BaseRepresentation
bin1011010011000110011000
312120110211220
423103012120
51224234231
6143252040
734114014
oct13230630
95513756
102961816
111743290
12baa020
137c9170
14571544
153d7896
hex2d3198

2961816 has 64 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 827520.

The previous prime is 2961809. The next prime is 2961821. The reversal of 2961816 is 6181692.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3001 + ... + 3863.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

22961816 is an apocalyptic number.

2961816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2961816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

2961816 is an abundant number, since it is smaller than the sum of its proper divisors (5747304).

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

2961816 is a wasteful number, since it uses less digits than its factorization.

2961816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 892 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 2961816 is about 1720.9927367656. The cubic root of 2961816 is about 143.6104440176.

It can be divided in two parts, 296 and 1816, that added together give a palindrome (2112).

The spelling of 2961816 in words is "two million, nine hundred sixty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 863 1144 1716 1726 2589 3432 3452 5178 6904 9493 10356 11219 18986 20712 22438 28479 33657 37972 44876 56958 67314 75944 89752 113916 123409 134628 227832 246818 269256 370227 493636 740454 987272 1480908 2961816