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2063424 = 26311977
BaseRepresentation
bin111110111110001000000
310212211111010
413313301000
51012012144
6112120520
723352546
oct7676100
93784433
102063424
11118a310
12836140
1357327c
143b9d96
152ab5b9
hex1f7c40

2063424 has 56 divisors (see below), whose sum is σ = 5961888. Its totient is φ = 624640.

The previous prime is 2063423. The next prime is 2063429. The reversal of 2063424 is 4243602.

It is a self number, because there is not a number n which added to its sum of digits gives 2063424.

It is not an unprimeable number, because it can be changed into a prime (2063423) 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, 1624 + ... + 2600.

22063424 is an apocalyptic number.

2063424 is a gapful number since it is divisible by the number (24) 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 2063424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980944).

2063424 is an abundant number, since it is smaller than the sum of its proper divisors (3898464).

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

2063424 is a wasteful number, since it uses less digits than its factorization.

2063424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2063424 is about 1436.4623211209. The cubic root of 2063424 is about 127.3100902055.

The spelling of 2063424 in words is "two million, sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 977 1056 1954 2112 2931 3908 5862 7816 10747 11724 15632 21494 23448 31264 32241 42988 46896 62528 64482 85976 93792 128964 171952 187584 257928 343904 515856 687808 1031712 2063424