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2153437 = 11213372
BaseRepresentation
bin1000001101101111011101
311001101221221
420031233131
51022402222
6114053341
724206146
oct10155735
94041857
102153437
111240a00
1287a251
135a5230
14400acd
152c80c7
hex20dbdd

2153437 has 18 divisors (see below), whose sum is σ = 2619834. Its totient is φ = 1758240.

The previous prime is 2153429. The next prime is 2153449. The reversal of 2153437 is 7343512.

It can be written as a sum of positive squares in 3 ways, for example, as 793881 + 1359556 = 891^2 + 1166^2 .

It is not a de Polignac number, because 2153437 - 23 = 2153429 is a prime.

It is a d-powerful number, because it can be written as 211 + 1 + 53 + 311 + 49 + 313 + 76 .

It is a Duffinian number.

2153437 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 58183 + ... + 58219.

22153437 is an apocalyptic number.

It is an amenable number.

2153437 is a deficient number, since it is larger than the sum of its proper divisors (466397).

2153437 is a wasteful number, since it uses less digits than its factorization.

2153437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 61 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 2153437 is about 1467.4593691138. The cubic root of 2153437 is about 129.1350267745.

Adding to 2153437 its reverse (7343512), we get a palindrome (9496949).

The spelling of 2153437 in words is "two million, one hundred fifty-three thousand, four hundred thirty-seven".

Divisors: 1 11 13 37 121 143 407 481 1369 1573 4477 5291 15059 17797 58201 165649 195767 2153437