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1072380 = 223561293
BaseRepresentation
bin100000101110011111100
32000111000210
410011303330
5233304010
634552420
712054321
oct4056374
92014023
101072380
11672771
12438710
132b715a
141dcb48
15162b20
hex105cfc

1072380 has 48 divisors (see below), whose sum is σ = 3062304. Its totient is φ = 280320.

The previous prime is 1072373. The next prime is 1072381. The reversal of 1072380 is 832701.

1072380 is a nontrivial binomial coefficient, being equal to C(1465, 2).

It is a super-2 number, since 2×10723802 = 2299997728800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3514 + ... + 3806.

It is an arithmetic number, because the mean of its divisors is an integer number (63798).

21072380 is an apocalyptic number.

1072380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1072380 is the 1464-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531152).

1072380 is an abundant number, since it is smaller than the sum of its proper divisors (1989924).

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

1072380 is a wasteful number, since it uses less digits than its factorization.

1072380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1072380 is about 1035.5578206938. The cubic root of 1072380 is about 102.3566904660.

It can be divided in two parts, 10 and 72380, that added together give a triangular number (72390 = T380).

The spelling of 1072380 in words is "one million, seventy-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 293 305 366 586 610 732 879 915 1172 1220 1465 1758 1830 2930 3516 3660 4395 5860 8790 17580 17873 35746 53619 71492 89365 107238 178730 214476 268095 357460 536190 1072380