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2706920 = 235313759
BaseRepresentation
bin1010010100110111101000
312002112012022
422110313220
51143110140
6134004012
732002616
oct12246750
95075168
102706920
111589827
12aa6608
1373a138
145066b6
153870b5
hex294de8

2706920 has 64 divisors (see below), whose sum is σ = 6566400. Its totient is φ = 1002240.

The previous prime is 2706857. The next prime is 2706923. The reversal of 2706920 is 296072.

2706920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2706920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2706923) 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, 45851 + ... + 45909.

It is an arithmetic number, because the mean of its divisors is an integer number (102600).

22706920 is an apocalyptic number.

2706920 is a gapful number since it is divisible by the number (20) 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 2706920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283200).

2706920 is an abundant number, since it is smaller than the sum of its proper divisors (3859480).

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

2706920 is a wasteful number, since it uses less digits than its factorization.

2706920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 2706920 is about 1645.2720139843. The cubic root of 2706920 is about 139.3665257236.

The spelling of 2706920 in words is "two million, seven hundred six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 37 40 59 62 74 118 124 148 155 185 236 248 295 296 310 370 472 590 620 740 1147 1180 1240 1480 1829 2183 2294 2360 3658 4366 4588 5735 7316 8732 9145 9176 10915 11470 14632 17464 18290 21830 22940 36580 43660 45880 67673 73160 87320 135346 270692 338365 541384 676730 1353460 2706920