Search a number
-
+
1263481164 = 22321129269409
BaseRepresentation
bin100101101001111…
…0011000101001100
310021001110111022200
41023103303011030
510041422344124
6325212441500
743211261361
oct11323630514
93231414280
101263481164
11599225110
122b3179290
131719bcaba
14bdb36468
1575dc9bc9
hex4b4f314c

1263481164 has 144 divisors (see below), whose sum is σ = 3626532000. Its totient is φ = 367395840.

The previous prime is 1263481097. The next prime is 1263481181. The reversal of 1263481164 is 4611843621.

1263481164 is a `hidden beast` number, since 1 + 2 + 634 + 8 + 1 + 16 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3088992 + ... + 3089400.

It is an arithmetic number, because the mean of its divisors is an integer number (25184250).

Almost surely, 21263481164 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 1263481164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813266000).

1263481164 is an abundant number, since it is smaller than the sum of its proper divisors (2363050836).

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

1263481164 is a wasteful number, since it uses less digits than its factorization.

1263481164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 723 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1263481164 is about 35545.4802190096. The cubic root of 1263481164 is about 1081.0760776801.

The spelling of 1263481164 in words is "one billion, two hundred sixty-three million, four hundred eighty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 269 319 348 396 409 522 538 638 807 818 957 1044 1076 1227 1276 1614 1636 1914 2421 2454 2871 2959 3228 3681 3828 4499 4842 4908 5742 5918 7362 7801 8877 8998 9684 11484 11836 11861 13497 14724 15602 17754 17996 23403 23722 26631 26994 31204 35508 35583 40491 46806 47444 53262 53988 70209 71166 80982 85811 93612 106524 106749 110021 130471 140418 142332 161964 171622 213498 220042 257433 260942 280836 330063 343244 391413 426996 440084 514866 521884 660126 772299 782826 990189 1029732 1174239 1210231 1320252 1544598 1565652 1980378 2348478 2420462 3089196 3190609 3630693 3960756 4696956 4840924 6381218 7261386 9571827 10892079 12762436 14522772 19143654 21784158 28715481 35096699 38287308 43568316 57430962 70193398 105290097 114861924 140386796 210580194 315870291 421160388 631740582 1263481164