Search a number
-
+
1264426968 = 23373269571
BaseRepresentation
bin100101101011101…
…1001111111011000
310021010020112201110
41023113121333120
510042143130333
6325245020320
743222311000
oct11327317730
93233215643
101264426968
11599810772
122b35546a0
13171c6144c
14bdd01000
1576015063
hex4b5d9fd8

1264426968 has 128 divisors (see below), whose sum is σ = 3706560000. Its totient is φ = 359291520.

The previous prime is 1264426939. The next prime is 1264426993. The reversal of 1264426968 is 8696244621.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2214123 + ... + 2214693.

It is an arithmetic number, because the mean of its divisors is an integer number (28957500).

Almost surely, 21264426968 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 1264426968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853280000).

1264426968 is an abundant number, since it is smaller than the sum of its proper divisors (2442133032).

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

1264426968 is a wasteful number, since it uses less digits than its factorization.

1264426968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 852 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 1264426968 is about 35558.7818688998. The cubic root of 1264426968 is about 1081.3457640776.

The spelling of 1264426968 in words is "one billion, two hundred sixty-four million, four hundred twenty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 269 294 343 392 538 571 588 686 807 1029 1076 1142 1176 1372 1614 1713 1883 2058 2152 2284 2744 3228 3426 3766 3997 4116 4568 5649 6456 6852 7532 7994 8232 11298 11991 13181 13704 15064 15988 22596 23982 26362 27979 31976 39543 45192 47964 52724 55958 79086 83937 92267 95928 105448 111916 153599 158172 167874 184534 195853 223832 276801 307198 316344 335748 369068 391706 460797 553602 587559 614396 671496 738136 783412 921594 1075193 1107204 1175118 1228792 1566824 1843188 2150386 2214408 2350236 3225579 3686376 4300772 4700472 6451158 7526351 8601544 12902316 15052702 22579053 25804632 30105404 45158106 52684457 60210808 90316212 105368914 158053371 180632424 210737828 316106742 421475656 632213484 1264426968