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1213120 = 26517223
BaseRepresentation
bin100101000001011000000
32021122002101
410220023000
5302304440
642000144
713211536
oct4501300
92248071
101213120
11759487
124a6054
1333622c
14238156
1518e69a
hex1282c0

1213120 has 56 divisors (see below), whose sum is σ = 3072384. Its totient is φ = 454656.

The previous prime is 1213109. The next prime is 1213129. The reversal of 1213120 is 213121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1213097 and 1213106.

It is not an unprimeable number, because it can be changed into a prime (1213129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5329 + ... + 5551.

It is an arithmetic number, because the mean of its divisors is an integer number (54864).

21213120 is an apocalyptic number.

1213120 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 1213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536192).

1213120 is an abundant number, since it is smaller than the sum of its proper divisors (1859264).

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

1213120 is a wasteful number, since it uses less digits than its factorization.

1213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1213120 is about 1101.4172687951. The cubic root of 1213120 is about 106.6517340207.

Adding to 1213120 its reverse (213121), we get a palindrome (1426241).

Subtracting from 1213120 its reverse (213121), we obtain a palindrome (999999).

The spelling of 1213120 in words is "one million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 223 272 320 340 446 544 680 892 1088 1115 1360 1784 2230 2720 3568 3791 4460 5440 7136 7582 8920 14272 15164 17840 18955 30328 35680 37910 60656 71360 75820 121312 151640 242624 303280 606560 1213120