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2132550 = 232527677
BaseRepresentation
bin1000001000101001000110
311000100022100
420020221012
51021220200
6113412530
724061230
oct10105106
94010270
102132550
111227242
1286a146
13598884
143d7250
152c1d00
hex208a46

2132550 has 72 divisors (see below), whose sum is σ = 6557616. Its totient is φ = 486720.

The previous prime is 2132539. The next prime is 2132551. The reversal of 2132550 is 552312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 26 + 1 + 39 + 221 + 52 + 56 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132551) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2812 + ... + 3488.

It is an arithmetic number, because the mean of its divisors is an integer number (91078).

22132550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278808).

2132550 is an abundant number, since it is smaller than the sum of its proper divisors (4425066).

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

2132550 is a wasteful number, since it uses less digits than its factorization.

2132550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2132550 is about 1460.3253062246. The cubic root of 2132550 is about 128.7161597682.

Adding to 2132550 its reverse (552312), we get a palindrome (2684862).

The spelling of 2132550 in words is "two million, one hundred thirty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 677 1050 1354 1575 2031 3150 3385 4062 4739 6093 6770 9478 10155 12186 14217 16925 20310 23695 28434 30465 33850 42651 47390 50775 60930 71085 85302 101550 118475 142170 152325 213255 236950 304650 355425 426510 710850 1066275 2132550