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2661945 = 3511131773
BaseRepresentation
bin1010001001111000111001
312000020111120
422021320321
51140140240
6133015453
731424526
oct12117071
95006446
102661945
111558a60
12a84589
13722820
144d414d
15378ad0
hex289e39

2661945 has 64 divisors (see below), whose sum is σ = 5370624. Its totient is φ = 1105920.

The previous prime is 2661943. The next prime is 2661947. The reversal of 2661945 is 5491662.

2661945 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 (2661943) and next prime (2661947).

It is not a de Polignac number, because 2661945 - 21 = 2661943 is a prime.

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

2661945 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661943) 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 63 ways as a sum of consecutive naturals, for example, 36429 + ... + 36501.

It is an arithmetic number, because the mean of its divisors is an integer number (83916).

22661945 is an apocalyptic number.

It is an amenable number.

2661945 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2661945 is a wasteful number, since it uses less digits than its factorization.

2661945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122.

The product of its digits is 12960, while the sum is 33.

The square root of 2661945 is about 1631.5468120774. The cubic root of 2661945 is about 138.5903609962.

It can be divided in two parts, 266 and 1945, that added together give a triangular number (2211 = T66).

The spelling of 2661945 in words is "two million, six hundred sixty-one thousand, nine hundred forty-five".

Divisors: 1 3 5 11 13 15 17 33 39 51 55 65 73 85 143 165 187 195 219 221 255 365 429 561 663 715 803 935 949 1095 1105 1241 2145 2409 2431 2805 2847 3315 3723 4015 4745 6205 7293 10439 12045 12155 13651 14235 16133 18615 31317 36465 40953 48399 52195 68255 80665 156585 177463 204765 241995 532389 887315 2661945