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1064120 = 23537719
BaseRepresentation
bin100000011110010111000
32000001200212
410003302320
5233022440
634450252
712021251
oct4036270
92001625
101064120
11667542
12433988
132b3475
141d9b28
15160465
hex103cb8

1064120 has 32 divisors (see below), whose sum is σ = 2462400. Its totient is φ = 413568.

The previous prime is 1064117. The next prime is 1064131. The reversal of 1064120 is 214601.

It is a super-2 number, since 2×10641202 = 2264702748800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1064095 and 1064104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1121 + ... + 1839.

It is an arithmetic number, because the mean of its divisors is an integer number (76950).

21064120 is an apocalyptic number.

1064120 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 1064120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231200).

1064120 is an abundant number, since it is smaller than the sum of its proper divisors (1398280).

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

1064120 is a wasteful number, since it uses less digits than its factorization.

1064120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1064120 is about 1031.5619225233. The cubic root of 1064120 is about 102.0932122422.

Adding to 1064120 its reverse (214601), we get a palindrome (1278721).

The spelling of 1064120 in words is "one million, sixty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 719 740 1438 1480 2876 3595 5752 7190 14380 26603 28760 53206 106412 133015 212824 266030 532060 1064120