Search a number
-
+
296160 = 2535617
BaseRepresentation
bin1001000010011100000
3120001020220
41020103200
533434120
610203040
72342304
oct1102340
9501226
10296160
11192567
12123480
13a4a57
1479d04
155cb40
hex484e0

296160 has 48 divisors (see below), whose sum is σ = 934416. Its totient is φ = 78848.

The previous prime is 296159. The next prime is 296183. The reversal of 296160 is 61692.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 296160.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 296160.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172 + ... + 788.

It is an arithmetic number, because the mean of its divisors is an integer number (19467).

2296160 is an apocalyptic number.

296160 is a gapful number since it is divisible by the number (20) 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 296160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467208).

296160 is an abundant number, since it is smaller than the sum of its proper divisors (638256).

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

296160 is a wasteful number, since it uses less digits than its factorization.

296160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 296160 is about 544.2058434085. The cubic root of 296160 is about 66.6564428766.

The spelling of 296160 in words is "two hundred ninety-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 617 1234 1851 2468 3085 3702 4936 6170 7404 9255 9872 12340 14808 18510 19744 24680 29616 37020 49360 59232 74040 98720 148080 296160