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1264600116 = 22321313120627
BaseRepresentation
bin100101101100000…
…0100010000110100
310021010120100020100
41023120010100310
510042214200431
6325252434100
743223631543
oct11330042064
93233510210
101264600116
1159991986a
122b3618930
13171cc21c0
14bdd4815a
157604b4e6
hex4b604434

1264600116 has 72 divisors (see below), whose sum is σ = 3468969504. Its totient is φ = 386118720.

The previous prime is 1264600109. The next prime is 1264600153. The reversal of 1264600116 is 6110064621.

1264600116 is a `hidden beast` number, since 1 + 2 + 646 + 0 + 0 + 1 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1264600116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50995 + ... + 71621.

It is an arithmetic number, because the mean of its divisors is an integer number (48180132).

Almost surely, 21264600116 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 1264600116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734484752).

1264600116 is an abundant number, since it is smaller than the sum of its proper divisors (2204369388).

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

1264600116 is a wasteful number, since it uses less digits than its factorization.

1264600116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20781 (or 20776 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1264600116 is about 35561.2164583834. The cubic root of 1264600116 is about 1081.3951209050.

Adding to 1264600116 its reverse (6110064621), we get a palindrome (7374664737).

The spelling of 1264600116 in words is "one billion, two hundred sixty-four million, six hundred thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 131 156 234 262 393 468 524 786 1179 1572 1703 2358 3406 4716 5109 6812 10218 15327 20436 20627 30654 41254 61308 61881 82508 123762 185643 247524 268151 371286 536302 742572 804453 1072604 1608906 2413359 2702137 3217812 4826718 5404274 8106411 9653436 10808548 16212822 24319233 32425644 35127781 48638466 70255562 97276932 105383343 140511124 210766686 316150029 421533372 632300058 1264600116