Search a number
-
+
168718704 = 243711191239
BaseRepresentation
bin10100000111001…
…11000101110000
3102202110210112220
422003213011300
5321142444304
624424121040
74116041160
oct1203470560
9382423486
10168718704
1187267950
1248606180
1328c5406b
141859c5a0
15ec2aad9
hexa0e7170

168718704 has 160 divisors (see below), whose sum is σ = 548536320. Its totient is φ = 43411200.

The previous prime is 168718703. The next prime is 168718721. The reversal of 168718704 is 407817861.

It is a happy number.

It is a super-3 number, since 3×1687187043 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168718703) 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, 705817 + ... + 706055.

It is an arithmetic number, because the mean of its divisors is an integer number (3428352).

Almost surely, 2168718704 is an apocalyptic number.

168718704 is a gapful number since it is divisible by the number (14) 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 168718704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274268160).

168718704 is an abundant number, since it is smaller than the sum of its proper divisors (379817616).

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

168718704 is a wasteful number, since it uses less digits than its factorization.

168718704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 168718704 is about 12989.1764173099. The cubic root of 168718704 is about 552.5705610692.

The spelling of 168718704 in words is "one hundred sixty-eight million, seven hundred eighteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 191 231 239 264 308 336 382 462 478 528 573 616 717 764 924 956 1146 1232 1337 1434 1528 1673 1848 1912 2101 2292 2629 2674 2868 3056 3346 3696 3824 4011 4202 4584 5019 5258 5348 5736 6303 6692 7887 8022 8404 9168 10038 10516 10696 11472 12606 13384 14707 15774 16044 16808 18403 20076 21032 21392 25212 26768 29414 31548 32088 33616 36806 40152 42064 44121 45649 50424 55209 58828 63096 64176 73612 80304 88242 91298 100848 110418 117656 126192 136947 147224 176484 182596 220836 235312 273894 294448 319543 352968 365192 441672 502139 547788 639086 705936 730384 883344 958629 1004278 1095576 1278172 1506417 1917258 2008556 2191152 2556344 3012834 3514973 3834516 4017112 5112688 6025668 7029946 7669032 8034224 10544919 12051336 14059892 15338064 21089838 24102672 28119784 42179676 56239568 84359352 168718704