Search a number
-
+
264210138 = 23288116661
BaseRepresentation
bin11111011111110…
…00011011011010
3200102011021011200
433233320123122
51020114211023
642114535030
76355514643
oct1757703332
9612137150
10264210138
11126159a95
1274597476
134297967a
14271386ca
15182de743
hexfbf86da

264210138 has 24 divisors (see below), whose sum is σ = 573139476. Its totient is φ = 87964800.

The previous prime is 264210137. The next prime is 264210139. The reversal of 264210138 is 831012462.

264210138 is a `hidden beast` number, since 2 + 642 + 1 + 0 + 13 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (264210137) and next prime (264210139).

It can be written as a sum of positive squares in 2 ways, for example, as 255584169 + 8625969 = 15987^2 + 2937^2 .

It is not an unprimeable number, because it can be changed into a prime (264210137) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7528 + ... + 24188.

Almost surely, 2264210138 is an apocalyptic number.

264210138 is an abundant number, since it is smaller than the sum of its proper divisors (308929338).

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

264210138 is a wasteful number, since it uses less digits than its factorization.

264210138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17550 (or 17547 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 264210138 is about 16254.5420729100. The cubic root of 264210138 is about 641.6770291537.

The spelling of 264210138 in words is "two hundred sixty-four million, two hundred ten thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 881 1762 2643 5286 7929 15858 16661 33322 49983 99966 149949 299898 14678341 29356682 44035023 88070046 132105069 264210138