Search a number
-
+
968697216 = 27321944257
BaseRepresentation
bin111001101111010…
…010010110000000
32111111202220202200
4321233102112000
53440441302331
6240042313200
733001535064
oct7157222600
92444686680
10968697216
11457893613
122304b8800
131258ca226
149291daa4
155a09b5e6
hex39bd2580

968697216 has 96 divisors (see below), whose sum is σ = 2934305400. Its totient is φ = 305897472.

The previous prime is 968697211. The next prime is 968697221. The reversal of 968697216 is 612796869.

It is an interprime number because it is at equal distance from previous prime (968697211) and next prime (968697221).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968697211) 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, 241 + ... + 44016.

Almost surely, 2968697216 is an apocalyptic number.

968697216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968697216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467152700).

968697216 is an abundant number, since it is smaller than the sum of its proper divisors (1965608184).

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

968697216 is a wasteful number, since it uses less digits than its factorization.

968697216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44296 (or 44281 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 968697216 is about 31123.9010408400. The cubic root of 968697216 is about 989.4549310528.

The spelling of 968697216 in words is "nine hundred sixty-eight million, six hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 10944 21888 44257 88514 132771 177028 265542 354056 398313 531084 708112 796626 840883 1062168 1416224 1593252 1681766 2124336 2522649 2832448 3186504 3363532 4248672 5045298 5664896 6373008 6727064 7567947 8497344 10090596 12746016 13454128 15135894 16994688 20181192 25492032 26908256 30271788 40362384 50984064 53816512 60543576 80724768 107633024 121087152 161449536 242174304 322899072 484348608 968697216