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2141184 = 21031741
BaseRepresentation
bin1000001010110000000000
311000210011010
420022300000
51022004214
6113520520
724125343
oct10126000
94023133
102141184
111232781
12873140
1359c796
143da45a
152c4659
hex20ac00

2141184 has 88 divisors (see below), whose sum is σ = 6190128. Its totient is φ = 655360.

The previous prime is 2141159. The next prime is 2141189. The reversal of 2141184 is 4811412.

It is a happy number.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2141184.

It is not an unprimeable number, because it can be changed into a prime (2141189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52204 + ... + 52244.

22141184 is an apocalyptic number.

2141184 is a gapful number since it is divisible by the number (24) 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 2141184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095064).

2141184 is an abundant number, since it is smaller than the sum of its proper divisors (4048944).

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

2141184 is a wasteful number, since it uses less digits than its factorization.

2141184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 63 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 2141184 is about 1463.2785107422. The cubic root of 2141184 is about 128.8896357908.

Adding to 2141184 its reverse (4811412), we get a palindrome (6952596).

The spelling of 2141184 in words is "two million, one hundred forty-one thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 64 68 82 96 102 123 128 136 164 192 204 246 256 272 328 384 408 492 512 544 656 697 768 816 984 1024 1088 1312 1394 1536 1632 1968 2091 2176 2624 2788 3072 3264 3936 4182 4352 5248 5576 6528 7872 8364 8704 10496 11152 13056 15744 16728 17408 20992 22304 26112 31488 33456 41984 44608 52224 62976 66912 89216 125952 133824 178432 267648 356864 535296 713728 1070592 2141184