Search a number
-
+
1117822896 = 243317198011
BaseRepresentation
bin100001010100000…
…1001111110110000
32212220101021202000
41002220021332300
54242130313041
6302530454000
736462223611
oct10250117660
92786337660
101117822896
11523a88983
12272434300
1314a781188
14a865bc08
1568206bb6
hex42a09fb0

1117822896 has 160 divisors (see below), whose sum is σ = 3576556800. Its totient is φ = 332190720.

The previous prime is 1117822891. The next prime is 1117822897. The reversal of 1117822896 is 6982287111.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (96768) is a multiple of the sum of its prime factors (8064).

It is not an unprimeable number, because it can be changed into a prime (1117822891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135531 + ... + 143541.

It is an arithmetic number, because the mean of its divisors is an integer number (22353480).

Almost surely, 21117822896 is an apocalyptic number.

1117822896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1117822896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788278400).

1117822896 is an abundant number, since it is smaller than the sum of its proper divisors (2458733904).

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

1117822896 is a wasteful number, since it uses less digits than its factorization.

1117822896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8064 (or 8052 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 1117822896 is about 33433.8585269484. The cubic root of 1117822896 is about 1037.8254910614.

The spelling of 1117822896 in words is "one billion, one hundred seventeen million, eight hundred twenty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 27 34 36 38 48 51 54 57 68 72 76 102 108 114 136 144 152 153 171 204 216 228 272 304 306 323 342 408 432 456 459 513 612 646 684 816 912 918 969 1026 1224 1292 1368 1836 1938 2052 2448 2584 2736 2907 3672 3876 4104 5168 5814 7344 7752 8011 8208 8721 11628 15504 16022 17442 23256 24033 32044 34884 46512 48066 64088 69768 72099 96132 128176 136187 139536 144198 152209 192264 216297 272374 288396 304418 384528 408561 432594 456627 544748 576792 608836 817122 865188 913254 1089496 1153584 1217672 1225683 1369881 1634244 1730376 1826508 2178992 2435344 2451366 2587553 2739762 3268488 3460752 3653016 3677049 4109643 4902732 5175106 5479524 6536976 7306032 7354098 7762659 8219286 9805464 10350212 10959048 14708196 15525318 16438572 19610928 20700424 21918096 23287977 29416392 31050636 32877144 41400848 46575954 58832784 62101272 65754288 69863931 93151908 124202544 139727862 186303816 279455724 372607632 558911448 1117822896