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2151424 = 21011191
BaseRepresentation
bin1000001101010000000000
311001022012101
420031100000
51022321144
6114040144
724200242
oct10152000
94038171
102151424
11123a440
12879054
135a4342
14400092
152c76d4
hex20d400

2151424 has 44 divisors (see below), whose sum is σ = 4716288. Its totient is φ = 972800.

The previous prime is 2151421. The next prime is 2151433. The reversal of 2151424 is 4241512.

2151424 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151421) 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 3 ways as a sum of consecutive naturals, for example, 11169 + ... + 11359.

22151424 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 2151424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358144).

2151424 is an abundant number, since it is smaller than the sum of its proper divisors (2564864).

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

2151424 is a wasteful number, since it uses less digits than its factorization.

2151424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its digits is 320, while the sum is 19.

The square root of 2151424 is about 1466.7733294548. The cubic root of 2151424 is about 129.0947764136.

Adding to 2151424 its reverse (4241512), we get a palindrome (6392936).

The spelling of 2151424 in words is "two million, one hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 191 256 352 382 512 704 764 1024 1408 1528 2101 2816 3056 4202 5632 6112 8404 11264 12224 16808 24448 33616 48896 67232 97792 134464 195584 268928 537856 1075712 2151424