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1130252340 = 2235719913523
BaseRepresentation
bin100001101011110…
…0100100000110100
32220202202202201210
41003113210200310
54303321033330
6304053121420
740002662220
oct10327444064
92822682653
101130252340
1152aaa8348
12276629270
13150213789
14aa175780
156935e8b0
hex435e4834

1130252340 has 96 divisors (see below), whose sum is σ = 3635251200. Its totient is φ = 257026176.

The previous prime is 1130252323. The next prime is 1130252359. The reversal of 1130252340 is 432520311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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, 76819 + ... + 90341.

It is an arithmetic number, because the mean of its divisors is an integer number (37867200).

Almost surely, 21130252340 is an apocalyptic number.

1130252340 is a gapful number since it is divisible by the number (10) 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 1130252340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817625600).

1130252340 is an abundant number, since it is smaller than the sum of its proper divisors (2504998860).

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

1130252340 is a wasteful number, since it uses less digits than its factorization.

1130252340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13741 (or 13739 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1130252340 is about 33619.2257495618. The cubic root of 1130252340 is about 1041.6579632197.

Adding to 1130252340 its reverse (432520311), we get a palindrome (1562772651).

The spelling of 1130252340 in words is "one billion, one hundred thirty million, two hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 199 210 398 420 597 796 995 1194 1393 1990 2388 2786 2985 3980 4179 5572 5970 6965 8358 11940 13523 13930 16716 20895 27046 27860 40569 41790 54092 67615 81138 83580 94661 135230 162276 189322 202845 270460 283983 378644 405690 473305 567966 811380 946610 1135932 1419915 1893220 2691077 2839830 5382154 5679660 8073231 10764308 13455385 16146462 18837539 26910770 32292924 37675078 40366155 53821540 56512617 75350156 80732310 94187695 113025234 161464620 188375390 226050468 282563085 376750780 565126170 1130252340