Search a number
-
+
2123829 = 32367643
BaseRepresentation
bin1000000110100000110101
310222220100100
420012200311
51020430304
6113304313
724023631
oct10064065
93886310
102123829
111220734
12865099
13594906
143d3dc1
152be439
hex206835

2123829 has 12 divisors (see below), whose sum is σ = 3080896. Its totient is φ = 1409832.

The previous prime is 2123791. The next prime is 2123831. The reversal of 2123829 is 9283212.

It is a happy number.

It is not a de Polignac number, because 2123829 - 27 = 2123701 is a prime.

It is a d-powerful number, because it can be written as 24 + 1 + 210 + 313 + 84 + 219 + 92 .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123879) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2982 + ... + 3624.

22123829 is an apocalyptic number.

It is an amenable number.

2123829 is a deficient number, since it is larger than the sum of its proper divisors (957067).

2123829 is a wasteful number, since it uses less digits than its factorization.

2123829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1013 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2123829 is about 1457.3362686765. The cubic root of 2123829 is about 128.5404597369.

The spelling of 2123829 in words is "two million, one hundred twenty-three thousand, eight hundred twenty-nine".

Divisors: 1 3 9 367 643 1101 1929 3303 5787 235981 707943 2123829