Search a number
-
+
168686648 = 231317731307
BaseRepresentation
bin10100000110111…
…11010000111000
3102202102011120122
422003133100320
5321140433043
624423312412
74115545544
oct1203372070
9382364518
10168686648
1187245859
12485ab708
1328c425b0
1418590a24
15ec21368
hexa0df438

168686648 has 64 divisors (see below), whose sum is σ = 365873760. Its totient is φ = 72216576.

The previous prime is 168686633. The next prime is 168686653. The reversal of 168686648 is 846686861.

It is a self number, because there is not a number n which added to its sum of digits gives 168686648.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128411 + ... + 129717.

Almost surely, 2168686648 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 168686648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182936880).

168686648 is an abundant number, since it is smaller than the sum of its proper divisors (197187112).

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

168686648 is a wasteful number, since it uses less digits than its factorization.

168686648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1412 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 53.

The square root of 168686648 is about 12987.9424082493. The cubic root of 168686648 is about 552.5355633217.

The spelling of 168686648 in words is "one hundred sixty-eight million, six hundred eighty-six thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 73 104 136 146 221 292 442 584 884 949 1241 1307 1768 1898 2482 2614 3796 4964 5228 7592 9928 10456 16133 16991 22219 32266 33982 44438 64532 67964 88876 95411 129064 135928 177752 190822 288847 381644 577694 763288 1155388 1240343 1621987 2310776 2480686 3243974 4961372 6487948 9922744 12975896 21085831 42171662 84343324 168686648