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1896129 = 38172
BaseRepresentation
bin111001110111011000001
310120100000000
413032323001
5441134004
6104350213
722055034
oct7167301
93510000
101896129
111085654
12775369
13515091
1437501b
15276c39
hex1ceec1

1896129 has 27 divisors (see below), whose sum is σ = 3021187. Its totient is φ = 1189728.

The previous prime is 1896109. The next prime is 1896133. The reversal of 1896129 is 9216981.

The square root of 1896129 is 1377.

It is a perfect power (a square), and thus also a powerful number.

1896129 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in only one way, i.e., 1476225 + 419904 = 1215^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 1896129 - 27 = 1896001 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1896093 and 1896102.

It is not an unprimeable number, because it can be changed into a prime (1896109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 111529 + ... + 111545.

21896129 is an apocalyptic number.

1896129 is the 1377-th square number.

1896129 is the 689-th centered octagonal number.

It is an amenable number.

1896129 is a deficient number, since it is larger than the sum of its proper divisors (1125058).

1896129 is an frugal number, since it uses more digits than its factorization.

1896129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 20 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The cubic root of 1896129 is about 123.7720621822.

Multiplying 1896129 by its sum of digits (36), we get a square (68260644 = 82622).

It can be divided in two parts, 1896 and 129, that added together give a square (2025 = 452).

The spelling of 1896129 in words is "one million, eight hundred ninety-six thousand, one hundred twenty-nine".

Divisors: 1 3 9 17 27 51 81 153 243 289 459 729 867 1377 2187 2601 4131 6561 7803 12393 23409 37179 70227 111537 210681 632043 1896129