Search a number
-
+
1133231364 = 2233192692053
BaseRepresentation
bin100001110001011…
…1011110100000100
32220222101010012000
41003202323310010
54310101400424
6304241025300
740040210346
oct10342736404
92828333160
101133231364
11531752551
12277625230
13150a17705
14aa70d296
156974c3c9
hex438bbd04

1133231364 has 96 divisors (see below), whose sum is σ = 3105648000. Its totient is φ = 356358528.

The previous prime is 1133231353. The next prime is 1133231377. The reversal of 1133231364 is 4631323311.

1133231364 is a `hidden beast` number, since 11 + 332 + 313 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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, 550962 + ... + 553014.

It is an arithmetic number, because the mean of its divisors is an integer number (32350500).

Almost surely, 21133231364 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 1133231364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552824000).

1133231364 is an abundant number, since it is smaller than the sum of its proper divisors (1972416636).

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

1133231364 is a wasteful number, since it uses less digits than its factorization.

1133231364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2346 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 1133231364 is about 33663.5019568672. The cubic root of 1133231364 is about 1042.5723318169.

Adding to 1133231364 its reverse (4631323311), we get a palindrome (5764554675).

The spelling of 1133231364 in words is "one billion, one hundred thirty-three million, two hundred thirty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 269 342 513 538 684 807 1026 1076 1614 2052 2053 2421 3228 4106 4842 5111 6159 7263 8212 9684 10222 12318 14526 15333 18477 20444 24636 29052 30666 36954 39007 45999 55431 61332 73908 78014 91998 110862 117021 137997 156028 183996 221724 234042 275994 351063 468084 551988 552257 702126 1053189 1104514 1404252 1656771 2106378 2209028 3313542 4212756 4970313 6627084 9940626 10492883 14910939 19881252 20985766 29821878 31478649 41971532 59643756 62957298 94435947 125914596 188871894 283307841 377743788 566615682 1133231364