Search a number
-
+
9028980 = 22325103487
BaseRepresentation
bin100010011100…
…010101110100
3121222201102200
4202130111310
54302411410
6521304500
7136513362
oct42342564
917881380
109028980
115107674
123035130
131b418bc
1412b0632
15bd53c0
hex89c574

9028980 has 72 divisors (see below), whose sum is σ = 27710592. Its totient is φ = 2379456.

The previous prime is 9028973. The next prime is 9028991. The reversal of 9028980 is 898209.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18297 + ... + 18783.

Almost surely, 29028980 is an apocalyptic number.

9028980 is a gapful number since it is divisible by the number (90) 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 9028980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13855296).

9028980 is an abundant number, since it is smaller than the sum of its proper divisors (18681612).

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

9028980 is a wasteful number, since it uses less digits than its factorization.

9028980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 9028980 is about 3004.8261180974. The cubic root of 9028980 is about 208.2314054284.

The spelling of 9028980 in words is "nine million, twenty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 487 515 618 927 974 1030 1236 1461 1545 1854 1948 2060 2435 2922 3090 3708 4383 4635 4870 5844 6180 7305 8766 9270 9740 14610 17532 18540 21915 29220 43830 50161 87660 100322 150483 200644 250805 300966 451449 501610 601932 752415 902898 1003220 1504830 1805796 2257245 3009660 4514490 9028980