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1212064 = 2572773
BaseRepresentation
bin100100111111010100000
32021120122021
410213322200
5302241224
641551224
713205500
oct4477240
92246567
101212064
11758707
124a5514
133358c9
14237a00
1518e1e4
hex127ea0

1212064 has 36 divisors (see below), whose sum is σ = 2779434. Its totient is φ = 518784.

The previous prime is 1212061. The next prime is 1212103. The reversal of 1212064 is 4602121.

It can be written as a sum of positive squares in only one way, i.e., 1192464 + 19600 = 1092^2 + 140^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1212061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1182 + ... + 1954.

21212064 is an apocalyptic number.

1212064 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 1212064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389717).

1212064 is an abundant number, since it is smaller than the sum of its proper divisors (1567370).

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

1212064 is an equidigital number, since it uses as much as digits as its factorization.

1212064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1212064 is about 1100.9377820749. The cubic root of 1212064 is about 106.6207788731.

Adding to 1212064 its reverse (4602121), we get a palindrome (5814185).

The spelling of 1212064 in words is "one million, two hundred twelve thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 773 784 1546 1568 3092 5411 6184 10822 12368 21644 24736 37877 43288 75754 86576 151508 173152 303016 606032 1212064