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264202640 = 24513254041
BaseRepresentation
bin11111011111101…
…10100110010000
3200102010212212222
433233312212100
51020113441030
642114440212
76355454042
oct1757664620
9612125788
10264202640
11126154399
1274593068
1342976130
1427135a92
15182dc3e5
hexfbf6990

264202640 has 40 divisors (see below), whose sum is σ = 661525368. Its totient is φ = 97551360.

The previous prime is 264202639. The next prime is 264202643. The reversal of 264202640 is 46202462.

It can be written as a sum of positive squares in 4 ways, for example, as 62789776 + 201412864 = 7924^2 + 14192^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (264202643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125981 + ... + 128060.

Almost surely, 2264202640 is an apocalyptic number.

264202640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264202640 is an abundant number, since it is smaller than the sum of its proper divisors (397322728).

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

264202640 is a wasteful number, since it uses less digits than its factorization.

264202640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254067 (or 254061 counting only the distinct ones).

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

The square root of 264202640 is about 16254.3114280489. The cubic root of 264202640 is about 641.6709590613.

The spelling of 264202640 in words is "two hundred sixty-four million, two hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 254041 508082 1016164 1270205 2032328 2540410 3302533 4064656 5080820 6605066 10161640 13210132 16512665 20323280 26420264 33025330 52840528 66050660 132101320 264202640