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1068720 = 24356173
BaseRepresentation
bin100000100111010110000
32000022000020
410010322300
5233144340
634523440
712040542
oct4047260
92008006
101068720
1166aa44
12436580
132b55a3
141db692
151619d0
hex104eb0

1068720 has 80 divisors (see below), whose sum is σ = 3413472. Its totient is φ = 276480.

The previous prime is 1068719. The next prime is 1068721. The reversal of 1068720 is 278601.

It is an interprime number because it is at equal distance from previous prime (1068719) and next prime (1068721).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10687202 = 2284324876800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (1068721) 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, 14604 + ... + 14676.

21068720 is an apocalyptic number.

1068720 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 1068720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706736).

1068720 is an abundant number, since it is smaller than the sum of its proper divisors (2344752).

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

1068720 is a wasteful number, since it uses less digits than its factorization.

1068720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1068720 is about 1033.7891467799. The cubic root of 1068720 is about 102.2401109910.

The spelling of 1068720 in words is "one million, sixty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 73 80 120 122 146 183 219 240 244 292 305 365 366 438 488 584 610 730 732 876 915 976 1095 1168 1220 1460 1464 1752 1830 2190 2440 2920 2928 3504 3660 4380 4453 4880 5840 7320 8760 8906 13359 14640 17520 17812 22265 26718 35624 44530 53436 66795 71248 89060 106872 133590 178120 213744 267180 356240 534360 1068720