Search a number
-
+
2606940 = 2232572069
BaseRepresentation
bin1001111100011101011100
311220110001100
421330131130
51131410230
6131513100
731105260
oct11743534
94813040
102606940
1115206a6
12a58790
1370378b
144bc0a0
15367660
hex27c75c

2606940 has 72 divisors (see below), whose sum is σ = 9041760. Its totient is φ = 595584.

The previous prime is 2606939. The next prime is 2606941. The reversal of 2606940 is 496062.

It is an interprime number because it is at equal distance from previous prime (2606939) and next prime (2606941).

It is a super-2 number, since 2×26069402 = 13592272327200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2606941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226 + ... + 2294.

It is an arithmetic number, because the mean of its divisors is an integer number (125580).

22606940 is an apocalyptic number.

2606940 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 2606940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520880).

2606940 is an abundant number, since it is smaller than the sum of its proper divisors (6434820).

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

2606940 is a wasteful number, since it uses less digits than its factorization.

2606940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2606940 is about 1614.6021181703. The cubic root of 2606940 is about 137.6291238831.

The spelling of 2606940 in words is "two million, six hundred six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2069 4138 6207 8276 10345 12414 14483 18621 20690 24828 28966 31035 37242 41380 43449 57932 62070 72415 74484 86898 93105 124140 130347 144830 173796 186210 217245 260694 289660 372420 434490 521388 651735 868980 1303470 2606940