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264285740 = 225174318077
BaseRepresentation
bin11111100000010…
…10111000101100
3200102022002212202
433300022320230
51020124120430
642120321032
76356251235
oct1760127054
9612262782
10264285740
11126200874
1274613178
13429a4bc4
142715808c
1518306d45
hexfc0ae2c

264285740 has 48 divisors (see below), whose sum is σ = 601346592. Its totient is φ = 97176576.

The previous prime is 264285739. The next prime is 264285761. The reversal of 264285740 is 47582462.

264285740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 264285694 and 264285703.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5582 + ... + 23658.

It is an arithmetic number, because the mean of its divisors is an integer number (12528054).

Almost surely, 2264285740 is an apocalyptic number.

264285740 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 264285740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300673296).

264285740 is an abundant number, since it is smaller than the sum of its proper divisors (337060852).

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

264285740 is a wasteful number, since it uses less digits than its factorization.

264285740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18146 (or 18144 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 264285740 is about 16256.8674719332. The cubic root of 264285740 is about 641.7382272096.

The spelling of 264285740 in words is "two hundred sixty-four million, two hundred eighty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 340 430 731 860 1462 2924 3655 7310 14620 18077 36154 72308 90385 180770 307309 361540 614618 777311 1229236 1536545 1554622 3073090 3109244 3886555 6146180 7773110 13214287 15546220 26428574 52857148 66071435 132142870 264285740