Search a number
-
+
163098441 = 36112432
BaseRepresentation
bin10011011100010…
…10111101001001
3102100220021000000
421232022331021
5313223122231
624103433213
74020212442
oct1156127511
9370807000
10163098441
1184079300
1246755809
1327a36b6c
14179382c9
15e4ba6e6
hex9b8af49

163098441 has 63 divisors (see below), whose sum is σ = 275183517. Its totient is φ = 96548760.

The previous prime is 163098433. The next prime is 163098449. The reversal of 163098441 is 144890361.

The square root of 163098441 is 12771.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (163098433) and next prime (163098449).

It is not a de Polignac number, because 163098441 - 23 = 163098433 is a prime.

It is a super-2 number, since 2×1630984412 = 53202202913260962, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 163098396 and 163098405.

It is not an unprimeable number, because it can be changed into a prime (163098449) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3792966 + ... + 3793008.

Almost surely, 2163098441 is an apocalyptic number.

163098441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

163098441 is the 12771-st square number.

163098441 is the 6386-th centered octagonal number.

It is an amenable number.

163098441 is a deficient number, since it is larger than the sum of its proper divisors (112085076).

163098441 is an frugal number, since it uses more digits than its factorization.

163098441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 163098441 is about 546.3655021622.

Multiplying 163098441 by its sum of digits (36), we get a square (5871543876 = 766262).

Multiplying 163098441 by its product of nonzero digits (20736), we get a square (3382009272576 = 18390242).

The spelling of 163098441 in words is "one hundred sixty-three million, ninety-eight thousand, four hundred forty-one".

Divisors: 1 3 9 11 27 33 43 81 99 121 129 243 297 363 387 473 729 891 1089 1161 1419 1849 2673 3267 3483 4257 5203 5547 8019 9801 10449 12771 15609 16641 20339 29403 31347 38313 46827 49923 61017 88209 114939 140481 149769 183051 223729 344817 421443 449307 549153 671187 1264329 1347921 1647459 2013561 3792987 4942377 6040683 14827131 18122049 54366147 163098441