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1231992 = 233271241
BaseRepresentation
bin100101100110001111000
32022120222100
410230301320
5303410432
642223400
713320546
oct4546170
92276870
101231992
11771683
124b4b60
133419b8
14240d96
1519507c
hex12cc78

1231992 has 48 divisors (see below), whose sum is σ = 3397680. Its totient is φ = 403200.

The previous prime is 1231987. The next prime is 1231999. The reversal of 1231992 is 2991321.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

Its product of digits (972) is a multiple of the sum of its prime factors (324).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231999) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4992 + ... + 5232.

It is an arithmetic number, because the mean of its divisors is an integer number (70785).

21231992 is an apocalyptic number.

1231992 is a gapful number since it is divisible by the number (12) 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 1231992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698840).

1231992 is an abundant number, since it is smaller than the sum of its proper divisors (2165688).

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

1231992 is a wasteful number, since it uses less digits than its factorization.

1231992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 317 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 1231992 is about 1109.9513502852. The cubic root of 1231992 is about 107.2019361795.

It can be divided in two parts, 123199 and 2, that added together give a square (123201 = 3512).

The spelling of 1231992 in words is "one million, two hundred thirty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 241 284 426 482 568 639 723 852 964 1278 1446 1704 1928 2169 2556 2892 4338 5112 5784 8676 17111 17352 34222 51333 68444 102666 136888 153999 205332 307998 410664 615996 1231992