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1242824 = 231129487
BaseRepresentation
bin100101111011011001000
32100010211112
410233123020
5304232244
642345452
713364252
oct4573310
92303745
101242824
11779830
124bb288
133468cb
14244cd2
1519839e
hex12f6c8

1242824 has 32 divisors (see below), whose sum is σ = 2635200. Its totient is φ = 544320.

The previous prime is 1242823. The next prime is 1242827. The reversal of 1242824 is 4282421.

It is a happy number.

It is a super-2 number, since 2×12428242 = 3089222989952, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1242824.

It is not an unprimeable number, because it can be changed into a prime (1242823) by changing a digit.

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, 2309 + ... + 2795.

It is an arithmetic number, because the mean of its divisors is an integer number (82350).

21242824 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 1242824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317600).

1242824 is an abundant number, since it is smaller than the sum of its proper divisors (1392376).

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

1242824 is a wasteful number, since it uses less digits than its factorization.

1242824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 529 counting only the distinct ones).

The product of its digits is 1024, while the sum is 23.

The square root of 1242824 is about 1114.8201648697. The cubic root of 1242824 is about 107.5152024651.

The spelling of 1242824 in words is "one million, two hundred forty-two thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 487 638 974 1276 1948 2552 3896 5357 10714 14123 21428 28246 42856 56492 112984 155353 310706 621412 1242824