Search a number
-
+
2332980 = 2232513997
BaseRepresentation
bin1000111001100100110100
311101112020200
420321210310
51044123410
6122000500
725554456
oct10714464
94345220
102332980
111353891
12946130
13638b80
1444a2d6
153113c0
hex239934

2332980 has 72 divisors (see below), whose sum is σ = 7628712. Its totient is φ = 573696.

The previous prime is 2332969. The next prime is 2332987. The reversal of 2332980 is 892332.

It can be written as a sum of positive squares in 4 ways, for example, as 242064 + 2090916 = 492^2 + 1446^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2332987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1842 + ... + 2838.

22332980 is an apocalyptic number.

2332980 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 2332980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3814356).

2332980 is an abundant number, since it is smaller than the sum of its proper divisors (5295732).

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

2332980 is a wasteful number, since it uses less digits than its factorization.

2332980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1020 counting only the distinct ones).

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

The square root of 2332980 is about 1527.4095717914. The cubic root of 2332980 is about 132.6285450036.

It can be divided in two parts, 23329 and 80, that added together give a square (23409 = 1532).

The spelling of 2332980 in words is "two million, three hundred thirty-two thousand, nine 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 90 117 130 156 180 195 234 260 390 468 585 780 997 1170 1994 2340 2991 3988 4985 5982 8973 9970 11964 12961 14955 17946 19940 25922 29910 35892 38883 44865 51844 59820 64805 77766 89730 116649 129610 155532 179460 194415 233298 259220 388830 466596 583245 777660 1166490 2332980