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9975780 = 22325157353
BaseRepresentation
bin100110000011…
…011111100100
3200202211012100
4212003133210
510023211110
6553452100
7150535623
oct46033744
920684170
109975780
1156a3a51
123411030
1320b3839
1414796ba
15d20bc0
hex9837e4

9975780 has 72 divisors (see below), whose sum is σ = 30538872. Its totient is φ = 2635776.

The previous prime is 9975773. The next prime is 9975803. The reversal of 9975780 is 875799.

9975780 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 9696996 = 528^2 + 3114^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 28084 + ... + 28436.

It is an arithmetic number, because the mean of its divisors is an integer number (424151).

Almost surely, 29975780 is an apocalyptic number.

9975780 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 9975780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15269436).

9975780 is an abundant number, since it is smaller than the sum of its proper divisors (20563092).

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

9975780 is a wasteful number, since it uses less digits than its factorization.

9975780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 9975780 is about 3158.4458203363. The cubic root of 9975780 is about 215.2693936967.

The spelling of 9975780 in words is "nine million, nine hundred seventy-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 353 471 628 706 785 942 1059 1412 1413 1570 1765 1884 2118 2355 2826 3140 3177 3530 4236 4710 5295 5652 6354 7060 7065 9420 10590 12708 14130 15885 21180 28260 31770 55421 63540 110842 166263 221684 277105 332526 498789 554210 665052 831315 997578 1108420 1662630 1995156 2493945 3325260 4987890 9975780