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2153106 = 232119617
BaseRepresentation
bin1000001101101010010010
311001101111200
420031222102
51022344411
6114052030
724205164
oct10155222
94041450
102153106
11124072a
1287a016
135a5037
14400934
152c7e56
hex20da92

2153106 has 12 divisors (see below), whose sum is σ = 4665102. Its totient is φ = 717696.

The previous prime is 2153089. The next prime is 2153111. The reversal of 2153106 is 6013512.

It can be written as a sum of positive squares in only one way, i.e., 1782225 + 370881 = 1335^2 + 609^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 119617 = 2153106 / (2 + 1 + 5 + 3 + 1 + 0 + 6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59791 + ... + 59826.

22153106 is an apocalyptic number.

2153106 is an abundant number, since it is smaller than the sum of its proper divisors (2511996).

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

2153106 is a wasteful number, since it uses less digits than its factorization.

2153106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119625 (or 119622 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2153106 is about 1467.3465848258. The cubic root of 2153106 is about 129.1284100832.

Adding to 2153106 its reverse (6013512), we get a palindrome (8166618).

It can be divided in two parts, 215 and 3106, that added together give a triangular number (3321 = T81).

The spelling of 2153106 in words is "two million, one hundred fifty-three thousand, one hundred six".

Divisors: 1 2 3 6 9 18 119617 239234 358851 717702 1076553 2153106