Search a number
-
+
996072 = 23373112
BaseRepresentation
bin11110011001011101000
31212121100120
43303023220
5223333242
633203240
711316000
oct3631350
91777316
10996072
11620400
12400520
1328b4bc
141bd000
1514a1ec
hexf32e8

996072 has 96 divisors (see below), whose sum is σ = 3192000. Its totient is φ = 258720.

The previous prime is 996067. The next prime is 996103. The reversal of 996072 is 270699.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 90547 + ... + 90557.

It is an arithmetic number, because the mean of its divisors is an integer number (33250).

2996072 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 996072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596000).

996072 is an abundant number, since it is smaller than the sum of its proper divisors (2195928).

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

996072 is a wasteful number, since it uses less digits than its factorization.

996072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 996072 is about 998.0340675548. The cubic root of 996072 is about 99.8688948562.

The spelling of 996072 in words is "nine hundred ninety-six thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 121 132 147 154 168 196 231 242 264 294 308 343 363 392 462 484 539 588 616 686 726 847 924 968 1029 1078 1176 1372 1452 1617 1694 1848 2058 2156 2541 2744 2904 3234 3388 3773 4116 4312 5082 5929 6468 6776 7546 8232 10164 11319 11858 12936 15092 17787 20328 22638 23716 30184 35574 41503 45276 47432 71148 83006 90552 124509 142296 166012 249018 332024 498036 996072