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1264485090 = 235112438101
BaseRepresentation
bin100101101011110…
…1000001011100010
310021010100111110010
41023113220023202
510042202010330
6325250145350
743222642311
oct11327501342
93233314403
101264485090
11599850400
122b3582256
13171c81a3b
14bdd18278
15760273b0
hex4b5e82e2

1264485090 has 96 divisors (see below), whose sum is σ = 3413729088. Its totient is φ = 299376000.

The previous prime is 1264485067. The next prime is 1264485091. The reversal of 1264485090 is 905844621.

It is not an unprimeable number, because it can be changed into a prime (1264485091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152040 + ... + 160140.

It is an arithmetic number, because the mean of its divisors is an integer number (35559678).

Almost surely, 21264485090 is an apocalyptic number.

1264485090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1264485090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706864544).

1264485090 is an abundant number, since it is smaller than the sum of its proper divisors (2149243998).

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

1264485090 is a wasteful number, since it uses less digits than its factorization.

1264485090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8176 (or 8165 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 1264485090 is about 35559.5991259744. The cubic root of 1264485090 is about 1081.3623325884.

The spelling of 1264485090 in words is "one billion, two hundred sixty-four million, four hundred eighty-five thousand, ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 121 129 165 215 242 258 330 363 430 473 605 645 726 946 1210 1290 1419 1815 2365 2838 3630 4730 5203 7095 8101 10406 14190 15609 16202 24303 26015 31218 40505 48606 52030 78045 81010 89111 121515 156090 178222 243030 267333 348343 445555 534666 696686 891110 980221 1045029 1336665 1741715 1960442 2090058 2673330 2940663 3483430 3831773 4901105 5225145 5881326 7663546 9802210 10450290 11495319 14703315 19158865 22990638 29406630 38317730 42149503 57476595 84299006 114953190 126448509 210747515 252897018 421495030 632242545 1264485090