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2153988 = 223259833
BaseRepresentation
bin1000001101111000000100
311001102201100
420031320010
51022411423
6114100100
724210564
oct10157004
94042640
102153988
111241361
1287a630
135a5565
14400da4
152c8343
hex20de04

2153988 has 18 divisors (see below), whose sum is σ = 5444894. Its totient is φ = 717984.

The previous prime is 2153981. The next prime is 2153989. The reversal of 2153988 is 8893512.

It can be written as a sum of positive squares in only one way, i.e., 2125764 + 28224 = 1458^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 59833 = 2153988 / (2 + 1 + 5 + 3 + 9 + 8 + 8).

It is not an unprimeable number, because it can be changed into a prime (2153981) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29881 + ... + 29952.

22153988 is an apocalyptic number.

It is an amenable number.

2153988 is an abundant number, since it is smaller than the sum of its proper divisors (3290906).

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

2153988 is a wasteful number, since it uses less digits than its factorization.

2153988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59843 (or 59838 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 2153988 is about 1467.6470965460. The cubic root of 2153988 is about 129.1460397632.

The spelling of 2153988 in words is "two million, one hundred fifty-three thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 59833 119666 179499 239332 358998 538497 717996 1076994 2153988