[go: up one dir, main page]

Search a number
-
+
9820368 = 2432471451
BaseRepresentation
bin100101011101…
…100011010000
3200110221000100
4211131203100
510003222433
6550252400
7146320545
oct45354320
920427010
109820368
1155a8208
123357100
13205ab8c
141438bcc
15cdeb13
hex95d8d0

9820368 has 60 divisors (see below), whose sum is σ = 28087488. Its totient is φ = 3201600.

The previous prime is 9820367. The next prime is 9820381. The reversal of 9820368 is 8630289.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9820367) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6043 + ... + 7493.

Almost surely, 29820368 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 9820368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14043744).

9820368 is an abundant number, since it is smaller than the sum of its proper divisors (18267120).

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

9820368 is a wasteful number, since it uses less digits than its factorization.

9820368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9820368 is about 3133.7466394079. The cubic root of 9820368 is about 214.1456486580.

The spelling of 9820368 in words is "nine million, eight hundred twenty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1451 1692 2256 2902 3384 4353 5804 6768 8706 11608 13059 17412 23216 26118 34824 52236 68197 69648 104472 136394 204591 208944 272788 409182 545576 613773 818364 1091152 1227546 1636728 2455092 3273456 4910184 9820368