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3132096 = 263111483
BaseRepresentation
bin1011111100101011000000
312220010102120
423330223000
51300211341
6151044240
735423322
oct13745300
95803376
103132096
11184a210
121070680
13858816
145b7612
1541d066
hex2fcac0

3132096 has 56 divisors (see below), whose sum is σ = 9046464. Its totient is φ = 948480.

The previous prime is 3132083. The next prime is 3132119. The reversal of 3132096 is 6902313.

3132096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 7 ways as a sum of consecutive naturals, for example, 1371 + ... + 2853.

It is an arithmetic number, because the mean of its divisors is an integer number (161544).

Almost surely, 23132096 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 3132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523232).

3132096 is an abundant number, since it is smaller than the sum of its proper divisors (5914368).

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

3132096 is a wasteful number, since it uses less digits than its factorization.

3132096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 3132096 is about 1769.7728667826. The cubic root of 3132096 is about 146.3114636825.

The spelling of 3132096 in words is "three million, one hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1483 2112 2966 4449 5932 8898 11864 16313 17796 23728 32626 35592 47456 48939 65252 71184 94912 97878 130504 142368 195756 261008 284736 391512 522016 783024 1044032 1566048 3132096