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1230096 = 24372523
BaseRepresentation
bin100101100010100010000
32022111101010
410230110100
5303330341
642210520
713312200
oct4542420
92274333
101230096
1177020a
124b3a40
13340b8a
14240400
15194716
hex12c510

1230096 has 60 divisors (see below), whose sum is σ = 3703632. Its totient is φ = 350784.

The previous prime is 1230071. The next prime is 1230107. The reversal of 1230096 is 6900321.

1230096 is a nontrivial binomial coefficient, being equal to C(1569, 2).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 11 ways as a sum of consecutive naturals, for example, 2091 + ... + 2613.

21230096 is an apocalyptic number.

1230096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1230096 is the 1568-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851816).

1230096 is an abundant number, since it is smaller than the sum of its proper divisors (2473536).

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

1230096 is a wasteful number, since it uses less digits than its factorization.

1230096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 1230096 is about 1109.0969299389. The cubic root of 1230096 is about 107.1469143860.

The spelling of 1230096 in words is "one million, two hundred thirty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 523 588 784 1046 1176 1569 2092 2352 3138 3661 4184 6276 7322 8368 10983 12552 14644 21966 25104 25627 29288 43932 51254 58576 76881 87864 102508 153762 175728 205016 307524 410032 615048 1230096