Search a number
-
+
2079108 = 22362331
BaseRepresentation
bin111111011100110000100
310220122000000
413323212010
51013012413
6112321300
723446353
oct7734604
93818000
102079108
1111a0079
12843230
1357a455
143c199a
152b1073
hex1fb984

2079108 has 84 divisors (see below), whose sum is σ = 5875968. Its totient is φ = 641520.

The previous prime is 2079079. The next prime is 2079109. The reversal of 2079108 is 8019702.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2079109) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 67053 + ... + 67083.

It is an arithmetic number, because the mean of its divisors is an integer number (69952).

22079108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2079108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937984).

2079108 is an abundant number, since it is smaller than the sum of its proper divisors (3796860).

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

2079108 is a wasteful number, since it uses less digits than its factorization.

2079108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2079108 is about 1441.9112316644. The cubic root of 2079108 is about 127.6318359520.

It can be divided in two parts, 2079 and 108, that added together give a 7-th power (2187 = 37).

The spelling of 2079108 in words is "two million, seventy-nine thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 31 36 46 54 62 69 81 92 93 108 124 138 162 186 207 243 276 279 324 372 414 486 558 621 713 729 828 837 972 1116 1242 1426 1458 1674 1863 2139 2484 2511 2852 2916 3348 3726 4278 5022 5589 6417 7452 7533 8556 10044 11178 12834 15066 16767 19251 22356 22599 25668 30132 33534 38502 45198 57753 67068 77004 90396 115506 173259 231012 346518 519777 693036 1039554 2079108