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2141412 = 2237133753
BaseRepresentation
bin1000001010110011100100
311000210110120
420022303210
51022011122
6113521540
724126120
oct10126344
94023416
102141412
111232969
128732b0
1359c910
143da580
152c475c
hex20ace4

2141412 has 96 divisors (see below), whose sum is σ = 6435072. Its totient is φ = 539136.

The previous prime is 2141407. The next prime is 2141413.

2141412 is nontrivially palindromic in base 10.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2141391 and 2141400.

It is not an unprimeable number, because it can be changed into a prime (2141413) 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, 40378 + ... + 40430.

It is an arithmetic number, because the mean of its divisors is an integer number (67032).

22141412 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 2141412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217536).

2141412 is an abundant number, since it is smaller than the sum of its proper divisors (4293660).

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

2141412 is a wasteful number, since it uses less digits than its factorization.

2141412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 115 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 2141412 is about 1463.3564159151. The cubic root of 2141412 is about 128.8942104862.

The spelling of 2141412 in words is "two million, one hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 52 53 74 78 84 91 106 111 148 156 159 182 212 222 259 273 318 364 371 444 481 518 546 636 689 742 777 962 1036 1092 1113 1378 1443 1484 1554 1924 1961 2067 2226 2756 2886 3108 3367 3922 4134 4452 4823 5772 5883 6734 7844 8268 9646 10101 11766 13468 13727 14469 19292 20202 23532 25493 27454 28938 40404 41181 50986 54908 57876 76479 82362 101972 152958 164724 178451 305916 356902 535353 713804 1070706 2141412