Search a number
-
+
1000005264 = 24351913537
BaseRepresentation
bin111011100110101…
…101111010010000
32120200200112100000
4323212231322100
54022000132024
6243121330000
733531622146
oct7346557220
92520615300
101000005264
11473527835
1223aa96900
1312c23c6bb
1496b4d596
155cbd2cc9
hex3b9ade90

1000005264 has 120 divisors (see below), whose sum is σ = 3055255840. Its totient is φ = 315767808.

The previous prime is 1000005233. The next prime is 1000005277. The reversal of 1000005264 is 4625000001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 67104 + ... + 80640.

Almost surely, 21000005264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000005264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527627920).

1000005264 is an abundant number, since it is smaller than the sum of its proper divisors (2055250576).

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

1000005264 is a wasteful number, since it uses less digits than its factorization.

1000005264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13579 (or 13561 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1000005264 is about 31622.8598327223. The cubic root of 1000005264 is about 1000.0017546636.

Adding to 1000005264 its reverse (4625000001), we get a palindrome (5625005265).

The spelling of 1000005264 in words is "one billion, five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 912 972 1026 1296 1368 1539 1944 2052 2736 3078 3888 4104 4617 6156 8208 9234 12312 13537 18468 24624 27074 36936 40611 54148 73872 81222 108296 121833 162444 216592 243666 257203 324888 365499 487332 514406 649776 730998 771609 974664 1028812 1096497 1461996 1543218 1949328 2057624 2192994 2314827 2923992 3086436 3289491 4115248 4385988 4629654 5847984 6172872 6578982 6944481 8771976 9259308 12345744 13157964 13888962 17543952 18518616 20833443 26315928 27777924 37037232 41666886 52631856 55555848 62500329 83333772 111111696 125000658 166667544 250001316 333335088 500002632 1000005264