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291040 = 25517107
BaseRepresentation
bin1000111000011100000
3112210020021
41013003200
533303130
610123224
72321341
oct1070340
9483207
10291040
11189732
12120514
13a2619
14780c8
155b37a
hex470e0

291040 has 48 divisors (see below), whose sum is σ = 734832. Its totient is φ = 108544.

The previous prime is 291037. The next prime is 291041. The reversal of 291040 is 40192.

291040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (291041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2667 + ... + 2773.

It is an arithmetic number, because the mean of its divisors is an integer number (15309).

2291040 is an apocalyptic number.

291040 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 291040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367416).

291040 is an abundant number, since it is smaller than the sum of its proper divisors (443792).

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

291040 is a wasteful number, since it uses less digits than its factorization.

291040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 291040 is about 539.4812322964. The cubic root of 291040 is about 66.2700900268.

The spelling of 291040 in words is "two hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 107 136 160 170 214 272 340 428 535 544 680 856 1070 1360 1712 1819 2140 2720 3424 3638 4280 7276 8560 9095 14552 17120 18190 29104 36380 58208 72760 145520 291040