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2153960 = 23553849
BaseRepresentation
bin1000001101110111101000
311001102200022
420031313220
51022411320
6114100012
724210524
oct10156750
94042608
102153960
111241336
1287a608
135a5543
14400d84
152c8325
hex20dde8

2153960 has 16 divisors (see below), whose sum is σ = 4846500. Its totient is φ = 861568.

The previous prime is 2153959. The next prime is 2153981. The reversal of 2153960 is 693512.

2153960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1965604 + 188356 = 1402^2 + 434^2 .

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26885 + ... + 26964.

22153960 is an apocalyptic number.

2153960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153960 is an abundant number, since it is smaller than the sum of its proper divisors (2692540).

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

2153960 is a wasteful number, since it uses less digits than its factorization.

2153960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53860 (or 53856 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 2153960 is about 1467.6375574371. The cubic root of 2153960 is about 129.1454801648.

It can be divided in two parts, 2153 and 960, that added together give a palindrome (3113).

The spelling of 2153960 in words is "two million, one hundred fifty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 53849 107698 215396 269245 430792 538490 1076980 2153960