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1422400 = 26527127
BaseRepresentation
bin101011011010001000000
32200021011111
411123101000
5331004100
650253104
715042640
oct5332100
92607144
101422400
11891741
12587194
133aa575
14290520
151d16ba
hex15b440

1422400 has 84 divisors (see below), whose sum is σ = 4031488. Its totient is φ = 483840.

The previous prime is 1422367. The next prime is 1422409. The reversal of 1422400 is 42241.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1422409) 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, 11137 + ... + 11263.

21422400 is an apocalyptic number.

1422400 is a gapful number since it is divisible by the number (10) 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 1422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015744).

1422400 is an abundant number, since it is smaller than the sum of its proper divisors (2609088).

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

1422400 is a wasteful number, since it uses less digits than its factorization.

1422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 1422400 is about 1192.6441212700. The cubic root of 1422400 is about 112.4623742487.

Adding to 1422400 its reverse (42241), we get a palindrome (1464641).

It can be divided in two parts, 14 and 22400, that multiplied together give a square (313600 = 5602).

The spelling of 1422400 in words is "one million, four hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 127 140 160 175 200 224 254 280 320 350 400 448 508 560 635 700 800 889 1016 1120 1270 1400 1600 1778 2032 2240 2540 2800 3175 3556 4064 4445 5080 5600 6350 7112 8128 8890 10160 11200 12700 14224 17780 20320 22225 25400 28448 35560 40640 44450 50800 56896 71120 88900 101600 142240 177800 203200 284480 355600 711200 1422400