Search a number
-
+
2679380 = 2251119641
BaseRepresentation
bin1010001110001001010100
312001010102022
422032021110
51141220010
6133232312
731526414
oct12161124
95033368
102679380
111570070
12a92698
1372a742
144da644
1537dd55
hex28e254

2679380 has 48 divisors (see below), whose sum is σ = 6471360. Its totient is φ = 921600.

The previous prime is 2679379. The next prime is 2679389. The reversal of 2679380 is 839762.

It is a self number, because there is not a number n which added to its sum of digits gives 2679380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2679389) 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, 3860 + ... + 4500.

It is an arithmetic number, because the mean of its divisors is an integer number (134820).

22679380 is an apocalyptic number.

2679380 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 2679380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235680).

2679380 is an abundant number, since it is smaller than the sum of its proper divisors (3791980).

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

2679380 is a wasteful number, since it uses less digits than its factorization.

2679380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 2679380 is about 1636.8811807825. The cubic root of 2679380 is about 138.8922789098.

The spelling of 2679380 in words is "two million, six hundred seventy-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 641 836 1045 1282 2090 2564 3205 4180 6410 7051 12179 12820 14102 24358 28204 35255 48716 60895 70510 121790 133969 141020 243580 267938 535876 669845 1339690 2679380