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1130336532 = 223413377253
BaseRepresentation
bin100001101011111…
…1001000100010100
32220202221001020000
41003113321010110
54303331232112
6304055011300
740003462533
oct10327710424
92822831200
101130336532
11530055626
12276669b30
13150242bb0
14aa19831a
15693797dc
hex435f9114

1130336532 has 120 divisors (see below), whose sum is σ = 3268681416. Its totient is φ = 338349312.

The previous prime is 1130336521. The next prime is 1130336533. The reversal of 1130336532 is 2356330311.

It is a happy number.

1130336532 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 3 + 3 + 653 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 302968836 + 827367696 = 17406^2 + 28764^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1130336496 and 1130336505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130336533) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152218 + ... + 159470.

Almost surely, 21130336532 is an apocalyptic number.

1130336532 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 1130336532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634340708).

1130336532 is an abundant number, since it is smaller than the sum of its proper divisors (2138344884).

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

1130336532 is a wasteful number, since it uses less digits than its factorization.

1130336532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7319 (or 7308 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 1130336532 is about 33620.4778669191. The cubic root of 1130336532 is about 1041.6838267922.

Adding to 1130336532 its reverse (2356330311), we get a palindrome (3486666843).

The spelling of 1130336532 in words is "one billion, one hundred thirty million, three hundred thirty-six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 81 108 111 117 148 156 162 222 234 324 333 351 444 468 481 666 702 962 999 1053 1332 1404 1443 1924 1998 2106 2886 2997 3996 4212 4329 5772 5994 7253 8658 11988 12987 14506 17316 21759 25974 29012 38961 43518 51948 65277 77922 87036 94289 130554 155844 188578 195831 261108 268361 282867 377156 391662 536722 565734 587493 783324 805083 848601 1073444 1131468 1174986 1610166 1697202 2349972 2415249 2545803 3220332 3394404 3488693 4830498 5091606 6977386 7245747 7637409 9660996 10183212 10466079 13954772 14491494 15274818 20932158 21737241 28982988 30549636 31398237 41864316 43474482 62796474 86948964 94194711 125592948 188389422 282584133 376778844 565168266 1130336532