[go: up one dir, main page]

Search a number
-
+
163157712 = 243192931199
BaseRepresentation
bin10011011100110…
…01011011010000
3102101000021022020
421232121123100
5313232021322
624105011440
74020550314
oct1156313320
9371007266
10163157712
1184109893
1246783b80
1327a57b33
1417951b44
15e4cd05c
hex9b996d0

163157712 has 160 divisors (see below), whose sum is σ = 476160000. Its totient is φ = 47900160.

The previous prime is 163157711. The next prime is 163157717. The reversal of 163157712 is 217751361.

163157712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163157711) 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, 819789 + ... + 819987.

It is an arithmetic number, because the mean of its divisors is an integer number (2976000).

Almost surely, 2163157712 is an apocalyptic number.

163157712 is a gapful number since it is divisible by the number (12) 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 163157712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238080000).

163157712 is an abundant number, since it is smaller than the sum of its proper divisors (313002288).

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

163157712 is a wasteful number, since it uses less digits than its factorization.

163157712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its digits is 8820, while the sum is 33.

The square root of 163157712 is about 12773.3203201047. The cubic root of 163157712 is about 546.4316783673.

The spelling of 163157712 in words is "one hundred sixty-three million, one hundred fifty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 31 38 48 57 58 62 76 87 93 114 116 124 152 174 186 199 228 232 248 304 348 372 398 456 464 496 551 589 597 696 744 796 899 912 1102 1178 1194 1392 1488 1592 1653 1767 1798 2204 2356 2388 2697 3184 3306 3534 3596 3781 4408 4712 4776 5394 5771 6169 6612 7068 7192 7562 8816 9424 9552 10788 11343 11542 12338 13224 14136 14384 15124 17081 17313 18507 21576 22686 23084 24676 26448 28272 30248 34162 34626 37014 43152 45372 46168 49352 51243 60496 68324 69252 74028 90744 92336 98704 102486 109649 117211 136648 138504 148056 178901 181488 204972 219298 234422 273296 277008 296112 328947 351633 357802 409944 438596 468844 536703 657894 703266 715604 819888 877192 937688 1073406 1315788 1406532 1431208 1754384 1875376 2146812 2631576 2813064 2862416 3399119 4293624 5263152 5626128 6798238 8587248 10197357 13596476 20394714 27192952 40789428 54385904 81578856 163157712