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7212880 = 245293109
BaseRepresentation
bin11011100000111101010000
3111120110012201
4123200331100
53321303010
6414332544
7115210543
oct33407520
914513181
107212880
114087164
1224ba154
13165709c
14d5a85a
1597723a
hex6e0f50

7212880 has 40 divisors (see below), whose sum is σ = 17353800. Its totient is φ = 2784768.

The previous prime is 7212871. The next prime is 7212893. The reversal of 7212880 is 882127.

It can be written as a sum of positive squares in 4 ways, for example, as 179776 + 7033104 = 424^2 + 2652^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 766 + ... + 3874.

It is an arithmetic number, because the mean of its divisors is an integer number (433845).

Almost surely, 27212880 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 7212880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8676900).

7212880 is an abundant number, since it is smaller than the sum of its proper divisors (10140920).

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

7212880 is a wasteful number, since it uses less digits than its factorization.

7212880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 7212880 is about 2685.6805469005. The cubic root of 7212880 is about 193.2129518784.

The spelling of 7212880 in words is "seven million, two hundred twelve thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 3109 6218 12436 15545 24872 31090 49744 62180 90161 124360 180322 248720 360644 450805 721288 901610 1442576 1803220 3606440 7212880