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2988180 = 22325131277
BaseRepresentation
bin1011011001100010010100
312121211000100
423121202110
51231110210
6144014100
734253616
oct13314224
95554010
102988180
111761078
121001330
13808170
1457adb6
153e05c0
hex2d9894

2988180 has 72 divisors (see below), whose sum is σ = 9769032. Its totient is φ = 734976.

The previous prime is 2988169. The next prime is 2988191. The reversal of 2988180 is 818892.

It is an interprime number because it is at equal distance from previous prime (2988169) and next prime (2988191).

It can be written as a sum of positive squares in 4 ways, for example, as 125316 + 2862864 = 354^2 + 1692^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1702 + ... + 2978.

It is an arithmetic number, because the mean of its divisors is an integer number (135681).

22988180 is an apocalyptic number.

2988180 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 2988180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4884516).

2988180 is an abundant number, since it is smaller than the sum of its proper divisors (6780852).

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

2988180 is a wasteful number, since it uses less digits than its factorization.

2988180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 2988180 is about 1728.6352998825. The cubic root of 2988180 is about 144.0352922756.

It can be divided in two parts, 29 and 88180, that added together give a square (88209 = 2972).

The spelling of 2988180 in words is "two million, nine hundred eighty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1277 2340 2554 3831 5108 6385 7662 11493 12770 15324 16601 19155 22986 25540 33202 38310 45972 49803 57465 66404 76620 83005 99606 114930 149409 166010 199212 229860 249015 298818 332020 498030 597636 747045 996060 1494090 2988180