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2159136 = 25347217
BaseRepresentation
bin1000001111001000100000
311001200210000
420033020200
51023043021
6114140000
724231600
oct10171040
94050700
102159136
111245211
12881600
135a79c5
14402c00
152c9b26
hex20f220

2159136 has 180 divisors, whose sum is σ = 7821198. Its totient is φ = 580608.

The previous prime is 2159093. The next prime is 2159147. The reversal of 2159136 is 6319512.

2159136 = T159 + T160 + ... + T256.

It can be written as a sum of positive squares in only one way, i.e., 1587600 + 571536 = 1260^2 + 756^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 127000 + ... + 127016.

22159136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2159136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910599).

2159136 is an abundant number, since it is smaller than the sum of its proper divisors (5662062).

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

2159136 is a wasteful number, since it uses less digits than its factorization.

2159136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 29 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 2159136 is about 1469.3998775010. The cubic root of 2159136 is about 129.2488436258.

The spelling of 2159136 in words is "two million, one hundred fifty-nine thousand, one hundred thirty-six".