Search a number
-
+
968716812 = 223729478461
BaseRepresentation
bin111001101111010…
…111001000001100
32111111210220122110
4321233113020030
53440442414222
6240042544020
733001646160
oct7157271014
92444726573
10968716812
114578a7308
12230508010
1312590611b
1492926ca0
155a0a230c
hex39bd720c

968716812 has 96 divisors (see below), whose sum is σ = 2729502720. Its totient is φ = 261515520.

The previous prime is 968716781. The next prime is 968716817. The reversal of 968716812 is 218617869.

It is not an unprimeable number, because it can be changed into a prime (968716817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110262 + ... + 118722.

It is an arithmetic number, because the mean of its divisors is an integer number (28432320).

Almost surely, 2968716812 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 968716812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364751360).

968716812 is an abundant number, since it is smaller than the sum of its proper divisors (1760785908).

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

968716812 is a wasteful number, since it uses less digits than its factorization.

968716812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8551 (or 8549 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The square root of 968716812 is about 31124.2158455438. The cubic root of 968716812 is about 989.4616029787.

It can be divided in two parts, 968716 and 812, that added together give a triangular number (969528 = T1392).

The spelling of 968716812 in words is "nine hundred sixty-eight million, seven hundred sixteen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 47 58 84 87 94 116 141 174 188 203 282 329 348 406 564 609 658 812 987 1218 1316 1363 1974 2436 2726 3948 4089 5452 8178 8461 9541 16356 16922 19082 25383 28623 33844 38164 50766 57246 59227 101532 114492 118454 177681 236908 245369 355362 397667 490738 710724 736107 795334 981476 1193001 1472214 1590668 1717583 2386002 2783669 2944428 3435166 4772004 5152749 5567338 6870332 8351007 10305498 11134676 11532343 16702014 20610996 23064686 33404028 34597029 46129372 69194058 80726401 138388116 161452802 242179203 322905604 484358406 968716812