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264740 = 22573161
BaseRepresentation
bin1000000101000100100
3111110011012
41000220210
531432430
65401352
72151560
oct1005044
9443135
10264740
111709a3
12109258
1393668
146c6a0
1553695
hex40a24

264740 has 48 divisors (see below), whose sum is σ = 666624. Its totient is φ = 86400.

The previous prime is 264739. The next prime is 264743. The reversal of 264740 is 47462.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 264740.

It is not an unprimeable number, because it can be changed into a prime (264743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4310 + ... + 4370.

It is an arithmetic number, because the mean of its divisors is an integer number (13888).

2264740 is an apocalyptic number.

264740 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 264740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333312).

264740 is an abundant number, since it is smaller than the sum of its proper divisors (401884).

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

264740 is a wasteful number, since it uses less digits than its factorization.

264740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 264740 is about 514.5289107524. The cubic root of 264740 is about 64.2105694564.

The spelling of 264740 in words is "two hundred sixty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 61 62 70 122 124 140 155 217 244 305 310 427 434 610 620 854 868 1085 1220 1708 1891 2135 2170 3782 4270 4340 7564 8540 9455 13237 18910 26474 37820 52948 66185 132370 264740