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2153928 = 233712821
BaseRepresentation
bin1000001101110111001000
311001102122010
420031313020
51022411203
6114055520
724210450
oct10156710
94042563
102153928
111241307
1287a5a0
135a551a
14400d60
152c8303
hex20ddc8

2153928 has 32 divisors (see below), whose sum is σ = 6154560. Its totient is φ = 615360.

The previous prime is 2153909. The next prime is 2153929. The reversal of 2153928 is 8293512.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2153895 and 2153904.

It is not an unprimeable number, because it can be changed into a prime (2153929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6243 + ... + 6578.

It is an arithmetic number, because the mean of its divisors is an integer number (192330).

22153928 is an apocalyptic number.

2153928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2153928 is an abundant number, since it is smaller than the sum of its proper divisors (4000632).

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

2153928 is a wasteful number, since it uses less digits than its factorization.

2153928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12837 (or 12833 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 2153928 is about 1467.6266555224. The cubic root of 2153928 is about 129.1448406178.

It can be divided in two parts, 2153 and 928, that added together give a triangular number (3081 = T78).

The spelling of 2153928 in words is "two million, one hundred fifty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 12821 25642 38463 51284 76926 89747 102568 153852 179494 269241 307704 358988 538482 717976 1076964 2153928