Search a number
-
+
264202460 = 225313591187
BaseRepresentation
bin11111011111101…
…10100011011100
3200102010212122022
433233312203130
51020113434320
642114435312
76355453364
oct1757664334
9612125568
10264202460
11126154245
1274592b38
1342976022
14271359a4
15182dc325
hexfbf68dc

264202460 has 48 divisors (see below), whose sum is σ = 574801920. Its totient is φ = 101901120.

The previous prime is 264202451. The next prime is 264202487. The reversal of 264202460 is 64202462.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221987 + ... + 223173.

It is an arithmetic number, because the mean of its divisors is an integer number (11975040).

Almost surely, 2264202460 is an apocalyptic number.

264202460 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 264202460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287400960).

264202460 is an abundant number, since it is smaller than the sum of its proper divisors (310599460).

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

264202460 is a wasteful number, since it uses less digits than its factorization.

264202460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 264202460 is about 16254.3058910555. The cubic root of 264202460 is about 641.6708133388.

The spelling of 264202460 in words is "two hundred sixty-four million, two hundred two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 359 620 718 1187 1436 1795 2374 3590 4748 5935 7180 11129 11870 22258 23740 36797 44516 55645 73594 111290 147188 183985 222580 367970 426133 735940 852266 1704532 2130665 4261330 8522660 13210123 26420246 52840492 66050615 132101230 264202460