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160930968 = 233112151367
BaseRepresentation
bin10011001011110…
…01110010011000
3102012211010210020
421211321302120
5312144242333
623545150440
73662614332
oct1145716230
9365733706
10160930968
1182928900
1245a8b420
1327458433
1417532452
15e1dd3b3
hex9979c98

160930968 has 96 divisors (see below), whose sum is σ = 446369280. Its totient is φ = 48312000.

The previous prime is 160930967. The next prime is 160930981. The reversal of 160930968 is 869039061.

160930968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1609309682 = 51797552922834048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160930963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438321 + ... + 438687.

It is an arithmetic number, because the mean of its divisors is an integer number (4649680).

Almost surely, 2160930968 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 160930968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223184640).

160930968 is an abundant number, since it is smaller than the sum of its proper divisors (285438312).

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

160930968 is a wasteful number, since it uses less digits than its factorization.

160930968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 160930968 is about 12685.8570069192. The cubic root of 160930968 is about 543.9344193579.

The spelling of 160930968 in words is "one hundred sixty million, nine hundred thirty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 151 242 264 302 363 367 453 484 604 726 734 906 968 1101 1208 1452 1468 1661 1812 2202 2904 2936 3322 3624 4037 4404 4983 6644 8074 8808 9966 12111 13288 16148 18271 19932 24222 32296 36542 39864 44407 48444 54813 55417 73084 88814 96888 109626 110834 133221 146168 166251 177628 219252 221668 266442 332502 355256 438504 443336 532884 609587 665004 1065768 1219174 1330008 1828761 2438348 3657522 4876696 6705457 7315044 13410914 14630088 20116371 26821828 40232742 53643656 80465484 160930968