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2153860 = 225107693
BaseRepresentation
bin1000001101110110000100
311001102112121
420031312010
51022410420
6114055324
724210322
oct10156604
94042477
102153860
111241255
1287a544
135a5497
14400d12
152c82aa
hex20dd84

2153860 has 12 divisors (see below), whose sum is σ = 4523148. Its totient is φ = 861536.

The previous prime is 2153839. The next prime is 2153861. The reversal of 2153860 is 683512.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1382976 + 770884 = 1176^2 + 878^2 .

It is a super-2 number, since 2×21538602 = 9278225799200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2153861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53827 + ... + 53866.

It is an arithmetic number, because the mean of its divisors is an integer number (376929).

22153860 is an apocalyptic number.

2153860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153860 is an abundant number, since it is smaller than the sum of its proper divisors (2369288).

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

2153860 is a wasteful number, since it uses less digits than its factorization.

2153860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107702 (or 107700 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2153860 is about 1467.6034886849. The cubic root of 2153860 is about 129.1434815595.

It can be divided in two parts, 2 and 153860, that multiplied together give a triangular number (307720 = T784).

The spelling of 2153860 in words is "two million, one hundred fifty-three thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 107693 215386 430772 538465 1076930 2153860