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2132928 = 26327232
BaseRepresentation
bin1000001000101111000000
311000100211100
420020233000
51021223203
6113414400
724062310
oct10105700
94010740
102132928
111227556
1286a400
13598ab5
143d7440
152c1ea3
hex208bc0

2132928 has 126 divisors (see below), whose sum is σ = 7304024. Its totient is φ = 582912.

The previous prime is 2132903. The next prime is 2132941. The reversal of 2132928 is 8292312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (126).

It is a nude number because it is divisible by every one of its digits.

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 17 ways as a sum of consecutive naturals, for example, 92725 + ... + 92747.

22132928 is an apocalyptic number.

2132928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652012).

2132928 is an abundant number, since it is smaller than the sum of its proper divisors (5171096).

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

2132928 is a wasteful number, since it uses less digits than its factorization.

2132928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 35 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2132928 is about 1460.4547237077. The cubic root of 2132928 is about 128.7237644095.

The spelling of 2132928 in words is "two million, one hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 64 69 72 84 92 96 112 126 138 144 161 168 184 192 207 224 252 276 288 322 336 368 414 448 483 504 529 552 576 644 672 736 828 966 1008 1058 1104 1288 1344 1449 1472 1587 1656 1932 2016 2116 2208 2576 2898 3174 3312 3703 3864 4032 4232 4416 4761 5152 5796 6348 6624 7406 7728 8464 9522 10304 11109 11592 12696 13248 14812 15456 16928 19044 22218 23184 25392 29624 30912 33327 33856 38088 44436 46368 50784 59248 66654 76176 88872 92736 101568 118496 133308 152352 177744 236992 266616 304704 355488 533232 710976 1066464 2132928