Search a number
-
+
8974960 = 245432609
BaseRepresentation
bin100010001111…
…001001110000
3121212222022221
4202033021300
54244144320
6520210424
7136200031
oct42171160
917788287
108974960
115080025
123009a14
131b23137
141298a88
15bc43aa
hex88f270

8974960 has 40 divisors (see below), whose sum is σ = 21360240. Its totient is φ = 3505152.

The previous prime is 8974937. The next prime is 8974969. The reversal of 8974960 is 694798.

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

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8974969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2136 + ... + 4744.

It is an arithmetic number, because the mean of its divisors is an integer number (534006).

Almost surely, 28974960 is an apocalyptic number.

8974960 is a gapful number since it is divisible by the number (80) 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 8974960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10680120).

8974960 is an abundant number, since it is smaller than the sum of its proper divisors (12385280).

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

8974960 is a wasteful number, since it uses less digits than its factorization.

8974960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 8974960 is about 2995.8237598363. The cubic root of 8974960 is about 207.8152946088.

The spelling of 8974960 in words is "eight million, nine hundred seventy-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 2609 3440 5218 10436 13045 20872 26090 41744 52180 104360 112187 208720 224374 448748 560935 897496 1121870 1794992 2243740 4487480 8974960