[go: up one dir, main page]

Search a number
-
+
988960 = 2557883
BaseRepresentation
bin11110001011100100000
31212020121011
43301130200
5223121320
633110304
711256160
oct3613440
91766534
10988960
11616025
123b8394
132881ab
141ba5a0
1514805a
hexf1720

988960 has 48 divisors (see below), whose sum is σ = 2673216. Its totient is φ = 338688.

The previous prime is 988951. The next prime is 988963. The reversal of 988960 is 69889.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (988963) by changing a digit.

988960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 679 + ... + 1561.

It is an arithmetic number, because the mean of its divisors is an integer number (55692).

2988960 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 988960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336608).

988960 is an abundant number, since it is smaller than the sum of its proper divisors (1684256).

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

988960 is a wasteful number, since it uses less digits than its factorization.

988960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 988960 is about 994.4646801169. The cubic root of 988960 is about 99.6306373924.

The spelling of 988960 in words is "nine hundred eighty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 883 1120 1766 3532 4415 6181 7064 8830 12362 14128 17660 24724 28256 30905 35320 49448 61810 70640 98896 123620 141280 197792 247240 494480 988960