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2132592 = 243711577
BaseRepresentation
bin1000001000101001110000
311000100100220
420020221300
51021220332
6113413040
724061320
oct10105160
94010326
102132592
111227280
1286a180
135988b7
143d7280
152c1d2c
hex208a70

2132592 has 80 divisors (see below), whose sum is σ = 6880512. Its totient is φ = 552960.

The previous prime is 2132591. The next prime is 2132593. The reversal of 2132592 is 2952312.

It is an interprime number because it is at equal distance from previous prime (2132591) and next prime (2132593).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132591) 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 15 ways as a sum of consecutive naturals, for example, 3408 + ... + 3984.

22132592 is an apocalyptic number.

2132592 is a gapful number since it is divisible by the number (22) 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 2132592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440256).

2132592 is an abundant number, since it is smaller than the sum of its proper divisors (4747920).

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

2132592 is a wasteful number, since it uses less digits than its factorization.

2132592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 600 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 2132592 is about 1460.3396865113. The cubic root of 2132592 is about 128.7170047727.

The spelling of 2132592 in words is "two million, one hundred thirty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 577 616 924 1154 1232 1731 1848 2308 3462 3696 4039 4616 6347 6924 8078 9232 12117 12694 13848 16156 19041 24234 25388 27696 32312 38082 44429 48468 50776 64624 76164 88858 96936 101552 133287 152328 177716 193872 266574 304656 355432 533148 710864 1066296 2132592