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9002980 = 2257107601
BaseRepresentation
bin100010010101…
…111111100100
3121221101202201
4202111333210
54301043410
6520544244
7136344520
oct42257744
917841681
109002980
11509a088
123022084
131b32b0c
1412a4d80
15bcc83a
hex895fe4

9002980 has 48 divisors (see below), whose sum is σ = 21845376. Its totient is φ = 3052800.

The previous prime is 9002977. The next prime is 9002993. The reversal of 9002980 is 892009.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14680 + ... + 15280.

It is an arithmetic number, because the mean of its divisors is an integer number (455112).

Almost surely, 29002980 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 9002980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10922688).

9002980 is an abundant number, since it is smaller than the sum of its proper divisors (12842396).

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

9002980 is a wasteful number, since it uses less digits than its factorization.

9002980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 9002980 is about 3000.4966255605. The cubic root of 9002980 is about 208.0313377340.

Adding to 9002980 its reverse (892009), we get a palindrome (9894989).

It can be divided in two parts, 90029 and 80, that added together give a palindrome (90109).

The spelling of 9002980 in words is "nine million, two thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 601 749 1070 1202 1498 2140 2404 2996 3005 3745 4207 6010 7490 8414 12020 14980 16828 21035 42070 64307 84140 128614 257228 321535 450149 643070 900298 1286140 1800596 2250745 4501490 9002980