Search a number
-
+
161568264 = 2331113179263
BaseRepresentation
bin10011010000101…
…01011000001000
3102021000111222210
421220111120020
5312330141024
624010545120
74001210334
oct1150253010
9367014883
10161568264
11832236a0
12461381a0
132761c530
141765a7c4
15e2b7129
hex9a15608

161568264 has 128 divisors (see below), whose sum is σ = 479001600. Its totient is φ = 44770560.

The previous prime is 161568263. The next prime is 161568269. The reversal of 161568264 is 462865161.

It is a happy number.

161568264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1615682642 = 52208607863947392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (161568263) 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, 614197 + ... + 614459.

It is an arithmetic number, because the mean of its divisors is an integer number (3742200).

Almost surely, 2161568264 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 161568264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239500800).

161568264 is an abundant number, since it is smaller than the sum of its proper divisors (317433336).

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

161568264 is a wasteful number, since it uses less digits than its factorization.

161568264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 471 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 161568264 is about 12710.9505545415. The cubic root of 161568264 is about 544.6514776449.

The spelling of 161568264 in words is "one hundred sixty-one million, five hundred sixty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 179 263 264 286 312 358 429 526 537 572 716 789 858 1052 1074 1144 1432 1578 1716 1969 2104 2148 2327 2893 3156 3419 3432 3938 4296 4654 5786 5907 6312 6838 6981 7876 8679 9308 10257 11572 11814 13676 13962 15752 17358 18616 20514 23144 23628 25597 27352 27924 34716 37609 41028 47077 47256 51194 55848 69432 75218 76791 82056 94154 102388 112827 141231 150436 153582 188308 204776 225654 282462 300872 307164 376616 451308 517847 564924 612001 614328 902616 1035694 1129848 1224002 1553541 1836003 2071388 2448004 3107082 3672006 4142776 4896008 6214164 6732011 7344012 12428328 13464022 14688024 20196033 26928044 40392066 53856088 80784132 161568264