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1012424 = 237101179
BaseRepresentation
bin11110111001011001000
31220102210012
43313023020
5224344144
633411052
711414450
oct3671310
91812705
101012424
11631716
12409a88
13295a8a
141c4d60
1514ee9e
hexf72c8

1012424 has 32 divisors (see below), whose sum is σ = 2203200. Its totient is φ = 427200.

The previous prime is 1012423. The next prime is 1012433. The reversal of 1012424 is 4242101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1012399 and 1012408.

It is not an unprimeable number, because it can be changed into a prime (1012421) 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, 5567 + ... + 5745.

It is an arithmetic number, because the mean of its divisors is an integer number (68850).

21012424 is an apocalyptic number.

1012424 is a gapful number since it is divisible by the number (14) 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 1012424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101600).

1012424 is an abundant number, since it is smaller than the sum of its proper divisors (1190776).

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

1012424 is a wasteful number, since it uses less digits than its factorization.

1012424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1012424 is about 1006.1928244626. The cubic root of 1012424 is about 100.4124300097.

Adding to 1012424 its reverse (4242101), we get a palindrome (5254525).

The spelling of 1012424 in words is "one million, twelve thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 101 179 202 358 404 707 716 808 1253 1414 1432 2506 2828 5012 5656 10024 18079 36158 72316 126553 144632 253106 506212 1012424