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2668974 = 2371153109
BaseRepresentation
bin1010001011100110101110
312000121010220
422023212232
51140401344
6133112210
731454160
oct12134656
95017126
102668974
111563270
12a88666
13725a99
144d6930
1537ac19
hex28b9ae

2668974 has 64 divisors (see below), whose sum is σ = 6842880. Its totient is φ = 673920.

The previous prime is 2668931. The next prime is 2668993. The reversal of 2668974 is 4798662.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 219 + 62 + 66 + 87 + 93 + 72 + 43 .

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24432 + ... + 24540.

It is an arithmetic number, because the mean of its divisors is an integer number (106920).

22668974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421440).

2668974 is an abundant number, since it is smaller than the sum of its proper divisors (4173906).

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

2668974 is a wasteful number, since it uses less digits than its factorization.

2668974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185.

The product of its digits is 145152, while the sum is 42.

The square root of 2668974 is about 1633.6994827691. The cubic root of 2668974 is about 138.7122387298.

The spelling of 2668974 in words is "two million, six hundred sixty-eight thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 53 66 77 106 109 154 159 218 231 318 327 371 462 583 654 742 763 1113 1166 1199 1526 1749 2226 2289 2398 3498 3597 4081 4578 5777 7194 8162 8393 11554 12243 16786 17331 24486 25179 34662 40439 50358 63547 80878 121317 127094 190641 242634 381282 444829 889658 1334487 2668974