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160168968 = 23331753823
BaseRepresentation
bin10011000101111…
…11110000001000
3102011101102112000
421202333300020
5312000401333
623520551000
73653261631
oct1142776010
9364342460
10160168968
1182458353
1245782460
132724c64b
14173b4888
15e0dc713
hex98bfc08

160168968 has 128 divisors (see below), whose sum is σ = 480556800. Its totient is φ = 49241088.

The previous prime is 160168949. The next prime is 160168969. The reversal of 160168968 is 869861061.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (160168969) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 194205 + ... + 195027.

It is an arithmetic number, because the mean of its divisors is an integer number (3754350).

Almost surely, 2160168968 is an apocalyptic number.

160168968 is a gapful number since it is divisible by the number (18) 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 160168968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240278400).

160168968 is an abundant number, since it is smaller than the sum of its proper divisors (320387832).

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

160168968 is a wasteful number, since it uses less digits than its factorization.

160168968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 160168968 is about 12655.7879248982. The cubic root of 160168968 is about 543.0745601349.

The spelling of 160168968 in words is "one hundred sixty million, one hundred sixty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 53 54 68 72 102 106 108 136 153 159 204 212 216 306 318 408 424 459 477 612 636 823 901 918 954 1224 1272 1431 1646 1802 1836 1908 2469 2703 2862 3292 3604 3672 3816 4938 5406 5724 6584 7208 7407 8109 9876 10812 11448 13991 14814 16218 19752 21624 22221 24327 27982 29628 32436 41973 43619 44442 48654 55964 59256 64872 83946 87238 88884 97308 111928 125919 130857 167892 174476 177768 194616 251838 261714 335784 348952 377757 392571 503676 523428 741523 755514 785142 1007352 1046856 1177713 1483046 1511028 1570284 2224569 2355426 2966092 3022056 3140568 4449138 4710852 5932184 6673707 8898276 9421704 13347414 17796552 20021121 26694828 40042242 53389656 80084484 160168968