Search a number
-
+
82320996 = 22319231613
BaseRepresentation
bin1001110100000…
…01111001100100
312201220100011210
410322001321210
5132033232441
612100231420
72016500622
oct472017144
9181810153
1082320996
1142516a8a
122369b570
1314093964
14ad0c512
157361616
hex4e81e64

82320996 has 72 divisors (see below), whose sum is σ = 209604864. Its totient is φ = 25116480.

The previous prime is 82320991. The next prime is 82321003. The reversal of 82320996 is 69902328.

It is not an unprimeable number, because it can be changed into a prime (82320991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133986 + ... + 134598.

Almost surely, 282320996 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 82320996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104802432).

82320996 is an abundant number, since it is smaller than the sum of its proper divisors (127283868).

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

82320996 is a wasteful number, since it uses less digits than its factorization.

82320996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 82320996 is about 9073.0918655109. The cubic root of 82320996 is about 435.0143052503.

The spelling of 82320996 in words is "eighty-two million, three hundred twenty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 361 372 589 613 722 1083 1178 1226 1444 1767 1839 2166 2356 2452 3534 3678 4332 7068 7356 11191 11647 19003 22382 23294 33573 34941 38006 44764 46588 57009 67146 69882 76012 114018 134292 139764 221293 228036 361057 442586 663879 722114 885172 1083171 1327758 1444228 2166342 2655516 4332684 6860083 13720166 20580249 27440332 41160498 82320996