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160968920 = 23572174831
BaseRepresentation
bin10011001100000…
…11000011011000
3102012220001211212
421212003003120
5312202001140
623550042252
73663133100
oct1146030330
9365801755
10160968920
1182954372
1245aa9388
132746c7a8
1417542200
15e1e9765
hex99830d8

160968920 has 96 divisors (see below), whose sum is σ = 446186880. Its totient is φ = 51932160.

The previous prime is 160968919. The next prime is 160968943. The reversal of 160968920 is 29869061.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30905 + ... + 35735.

It is an arithmetic number, because the mean of its divisors is an integer number (4647780).

Almost surely, 2160968920 is an apocalyptic number.

160968920 is a gapful number since it is divisible by the number (10) 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 160968920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223093440).

160968920 is an abundant number, since it is smaller than the sum of its proper divisors (285217960).

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

160968920 is a wasteful number, since it uses less digits than its factorization.

160968920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4873 (or 4862 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 160968920 is about 12687.3527577663. The cubic root of 160968920 is about 543.9771742874.

The spelling of 160968920 in words is "one hundred sixty million, nine hundred sixty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 340 392 476 490 595 680 833 952 980 1190 1666 1960 2380 3332 4165 4760 4831 6664 8330 9662 16660 19324 24155 33320 33817 38648 48310 67634 82127 96620 135268 164254 169085 193240 236719 270536 328508 338170 410635 473438 574889 657016 676340 821270 946876 1149778 1183595 1352680 1642540 1893752 2299556 2367190 2874445 3285080 4024223 4599112 4734380 5748890 8048446 9468760 11497780 16096892 20121115 22995560 32193784 40242230 80484460 160968920