Search a number
-
+
9997040 = 245196577
BaseRepresentation
bin100110001000…
…101011110000
3200210220100202
4212020223300
510024401130
6554134332
7150654614
oct46105360
920726322
109997040
115708a19
1234213a8
1320c0411
141483344
15d27145
hex988af0

9997040 has 40 divisors (see below), whose sum is σ = 24470160. Its totient is φ = 3787776.

The previous prime is 9997033. The next prime is 9997049. The reversal of 9997040 is 407999.

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 (38).

It is a junction number, because it is equal to n+sod(n) for n = 9996985 and 9997003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9997049) 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, 1769 + ... + 4808.

It is an arithmetic number, because the mean of its divisors is an integer number (611754).

Almost surely, 29997040 is an apocalyptic number.

It is an amenable number.

9997040 is an abundant number, since it is smaller than the sum of its proper divisors (14473120).

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

9997040 is a wasteful number, since it uses less digits than its factorization.

9997040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6609 (or 6603 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 38.

The square root of 9997040 is about 3161.8096084363. The cubic root of 9997040 is about 215.4222098165.

The spelling of 9997040 in words is "nine million, nine hundred ninety-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 6577 13154 26308 32885 52616 65770 105232 124963 131540 249926 263080 499852 526160 624815 999704 1249630 1999408 2499260 4998520 9997040