Search a number
-
+
980496 = 243211619
BaseRepresentation
bin11101111011000010000
31211210222200
43233120100
5222333441
633003200
711222406
oct3573020
91753880
10980496
1160a730
123b3500
1328439a
141b7476
151457b6
hexef610

980496 has 60 divisors (see below), whose sum is σ = 2998320. Its totient is φ = 296640.

The previous prime is 980491. The next prime is 980503. The reversal of 980496 is 694089.

980496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9804962 = 1922744812032, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 980496.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 980496.

It is not an unprimeable number, because it can be changed into a prime (980491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1275 + ... + 1893.

It is an arithmetic number, because the mean of its divisors is an integer number (49972).

2980496 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 980496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499160).

980496 is an abundant number, since it is smaller than the sum of its proper divisors (2017824).

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

980496 is a wasteful number, since it uses less digits than its factorization.

980496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 980496 is about 990.1999798021. The cubic root of 980496 is about 99.3455935300.

The spelling of 980496 in words is "nine hundred eighty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 619 792 1238 1584 1857 2476 3714 4952 5571 6809 7428 9904 11142 13618 14856 20427 22284 27236 29712 40854 44568 54472 61281 81708 89136 108944 122562 163416 245124 326832 490248 980496