Search a number
-
+
1113959832 = 2332941103379
BaseRepresentation
bin100001001100101…
…1010110110011000
32212122010000121120
41002121122312120
54240133203312
6302312005240
736414334206
oct10231326630
92778100546
101113959832
1152188a567
12271090820
13149a2aa3b
14a7d34076
1567be228c
hex4265ad98

1113959832 has 128 divisors (see below), whose sum is σ = 2987712000. Its totient is φ = 345461760.

The previous prime is 1113959827. The next prime is 1113959843. The reversal of 1113959832 is 2389593111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2939019 + ... + 2939397.

It is an arithmetic number, because the mean of its divisors is an integer number (23341500).

Almost surely, 21113959832 is an apocalyptic number.

1113959832 is a gapful number since it is divisible by the number (12) 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 1113959832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493856000).

1113959832 is an abundant number, since it is smaller than the sum of its proper divisors (1873752168).

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

1113959832 is a wasteful number, since it uses less digits than its factorization.

1113959832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 557 counting only the distinct ones).

The product of its digits is 58320, while the sum is 42.

The square root of 1113959832 is about 33376.0367928848. The cubic root of 1113959832 is about 1036.6285770662.

The spelling of 1113959832 in words is "one billion, one hundred thirteen million, nine hundred fifty-nine thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 41 58 82 87 103 116 123 164 174 206 232 246 309 328 348 379 412 492 618 696 758 824 984 1137 1189 1236 1516 2274 2378 2472 2987 3032 3567 4223 4548 4756 5974 7134 8446 8961 9096 9512 10991 11948 12669 14268 15539 16892 17922 21982 23896 25338 28536 31078 32973 33784 35844 39037 43964 46617 50676 62156 65946 71688 78074 87928 93234 101352 117111 122467 124312 131892 156148 186468 234222 244934 263784 312296 367401 372936 450631 468444 489868 734802 901262 936888 979736 1132073 1351893 1469604 1600517 1802524 2264146 2703786 2939208 3201034 3396219 3605048 4528292 4801551 5407572 6402068 6792438 9056584 9603102 10815144 12804136 13584876 19206204 27169752 38412408 46414993 92829986 139244979 185659972 278489958 371319944 556979916 1113959832