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1601424 = 243311337
BaseRepresentation
bin110000110111110010000
310000100202000
412012332100
5402221144
654154000
716416606
oct6067620
93010660
101601424
119a41a0
12652900
13440bb6
142d9876
15219769
hex186f90

1601424 has 80 divisors (see below), whose sum is σ = 5029440. Its totient is φ = 483840.

The previous prime is 1601423. The next prime is 1601441. The reversal of 1601424 is 4241061.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1601397 and 1601406.

It is not an unprimeable number, because it can be changed into a prime (1601423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4584 + ... + 4920.

It is an arithmetic number, because the mean of its divisors is an integer number (62868).

21601424 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 1601424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514720).

1601424 is an abundant number, since it is smaller than the sum of its proper divisors (3428016).

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

1601424 is a wasteful number, since it uses less digits than its factorization.

1601424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1601424 is about 1265.4738243046. The cubic root of 1601424 is about 116.9953975836.

Adding to 1601424 its reverse (4241061), we get a palindrome (5842485).

It can be divided in two parts, 1601 and 424, that added together give a square (2025 = 452).

The spelling of 1601424 in words is "one million, six hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 337 396 432 528 594 674 792 1011 1188 1348 1584 2022 2376 2696 3033 3707 4044 4752 5392 6066 7414 8088 9099 11121 12132 14828 16176 18198 22242 24264 29656 33363 36396 44484 48528 59312 66726 72792 88968 100089 133452 145584 177936 200178 266904 400356 533808 800712 1601424