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2661336 = 2335372
BaseRepresentation
bin1010001001101111011000
312000012200000
422021233120
51140130321
6133013000
731422666
oct12115730
95005600
102661336
111558557
12a84160
13722472
144d3c36
15378826
hex289bd8

2661336 has 72 divisors (see below), whose sum is σ = 7682220. Its totient is φ = 863136.

The previous prime is 2661331. The next prime is 2661341. The reversal of 2661336 is 6331662.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2661336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2661331) and next prime (2661341).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 71910 + ... + 71946.

22661336 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 2661336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841110).

2661336 is an abundant number, since it is smaller than the sum of its proper divisors (5020884).

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

2661336 is an equidigital number, since it uses as much as digits as its factorization.

2661336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 42 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 2661336 is about 1631.3601686936. The cubic root of 2661336 is about 138.5797912853.

Adding to 2661336 its reverse (6331662), we get a palindrome (8992998).

The spelling of 2661336 in words is "two million, six hundred sixty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 243 296 324 333 444 486 648 666 888 972 999 1332 1369 1944 1998 2664 2738 2997 3996 4107 5476 5994 7992 8214 8991 10952 11988 12321 16428 17982 23976 24642 32856 35964 36963 49284 71928 73926 98568 110889 147852 221778 295704 332667 443556 665334 887112 1330668 2661336