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264142005 = 351723291553
BaseRepresentation
bin11111011111001…
…11110010110101
3200102000210201020
433233213302311
51020110021010
642113251353
76355112211
oct1757476265
9612023636
10264142005
11126112886
1274563b59
134295465a
142711b941
15182c9470
hexfbe7cb5

264142005 has 64 divisors (see below), whose sum is σ = 483356160. Its totient is φ = 122372096.

The previous prime is 264141973. The next prime is 264142007. The reversal of 264142005 is 500241462.

It is a cyclic number.

It is not a de Polignac number, because 264142005 - 25 = 264141973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264142007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169309 + ... + 170861.

It is an arithmetic number, because the mean of its divisors is an integer number (7552440).

Almost surely, 2264142005 is an apocalyptic number.

It is an amenable number.

264142005 is a deficient number, since it is larger than the sum of its proper divisors (219214155).

264142005 is a wasteful number, since it uses less digits than its factorization.

264142005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 264142005 is about 16252.4461235840. The cubic root of 264142005 is about 641.6218670771.

Adding to 264142005 its reverse (500241462), we get a palindrome (764383467).

The spelling of 264142005 in words is "two hundred sixty-four million, one hundred forty-two thousand, five".

Divisors: 1 3 5 15 17 23 29 51 69 85 87 115 145 255 345 391 435 493 667 1173 1479 1553 1955 2001 2465 3335 4659 5865 7395 7765 10005 11339 23295 26401 34017 35719 45037 56695 79203 107157 132005 135111 170085 178595 225185 396015 535785 607223 675555 765629 1035851 1821669 2296887 3036115 3107553 3828145 5179255 9108345 11484435 15537765 17609467 52828401 88047335 264142005